Live analysis

1,002,960

1,002,960 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

1,002,960 (one million two thousand nine hundred sixty) is an even 7-digit number. It is a composite number with 120 divisors, and factors as 2⁴ × 3² × 5 × 7 × 199. Its proper divisors sum to 2,865,840, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4DD0.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Refactorable Number Weird Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,002,948 1,002,949 1,002,950 1,002,951 1,002,952 1,002,953 1,002,954 1,002,955 1,002,956 1,002,957 1,002,958 1,002,959 1,002,960 1,002,961 1,002,962 1,002,963 1,002,964 1,002,965 1,002,966 1,002,967 1,002,968 1,002,969 1,002,970 1,002,971 1,002,972

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 692,001
Square (n²): 1,005,928,761,600
Cube (n³): 1,008,906,310,734,336,000
Divisor count: 120
σ(n) — sum of divisors: 3,868,800
φ(n) — Euler's totient: 228,096
Sum of prime factors: 225

Primality

Prime factorization: 2 ⁴ × 3 ² × 5 × 7 × 199

Nearest primes: 1,002,931 (−29) · 1,002,973 (+13)

Divisors & multiples

All divisors (120)

1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 9 · 10 · 12 · 14 · 15 · 16 · 18 · 20 · 21 · 24 · 28 · 30 · 35 · 36 · 40 · 42 · 45 · 48 · 56 · 60 · 63 · 70 · 72 · 80 · 84 · 90 · 105 · 112 · 120 · 126 · 140 · 144 · 168 · 180 · 199 · 210 · 240 · 252 · 280 · 315 · 336 · 360 · 398 · 420 · 504 · 560 · 597 · 630 · 720 · 796 · 840 · 995 · 1008 · 1194 · 1260 · 1393 · 1592 · 1680 · 1791 · 1990 · 2388 · 2520 · 2786 · 2985 · 3184 · 3582 · 3980 · 4179 · 4776 · 5040 · 5572 · 5970 · 6965 · 7164 · 7960 · 8358 · 8955 · 9552 · 11144 · 11940 · 12537 · 13930 · 14328 · 15920 · 16716 · 17910 · 20895 · 22288 · 23880 · 25074 · 27860 · 28656 · 33432 · 35820 · 41790 · 47760 · 50148 · 55720 · 62685 · 66864 · 71640 · 83580 · 100296 · 111440 · 125370 · 143280 · 167160 · 200592 · 250740 · 334320 · 501480 (half) · 1002960

Aliquot sum (sum of proper divisors): 2,865,840

Factor pairs (a × b = 1,002,960)

1 × 1002960

2 × 501480

3 × 334320

4 × 250740

5 × 200592

6 × 167160

7 × 143280

8 × 125370

9 × 111440

10 × 100296

12 × 83580

14 × 71640

15 × 66864

16 × 62685

18 × 55720

20 × 50148

21 × 47760

24 × 41790

28 × 35820

30 × 33432

35 × 28656

36 × 27860

40 × 25074

42 × 23880

45 × 22288

48 × 20895

56 × 17910

60 × 16716

63 × 15920

70 × 14328

72 × 13930

80 × 12537

84 × 11940

90 × 11144

105 × 9552

112 × 8955

120 × 8358

126 × 7960

140 × 7164

144 × 6965

168 × 5970

180 × 5572

199 × 5040

210 × 4776

240 × 4179

252 × 3980

280 × 3582

315 × 3184

336 × 2985

360 × 2786

398 × 2520

420 × 2388

504 × 1990

560 × 1791

597 × 1680

630 × 1592

720 × 1393

796 × 1260

840 × 1194

995 × 1008

First multiples

1,002,960 · 2,005,920 (double) · 3,008,880 · 4,011,840 · 5,014,800 · 6,017,760 · 7,020,720 · 8,023,680 · 9,026,640 · 10,029,600

Sums & aliquot sequence

As consecutive integers: 334,319 + 334,320 + 334,321 200,590 + 200,591 + 200,592 + 200,593 + 200,594 143,277 + 143,278 + … + 143,283 111,436 + 111,437 + … + 111,444

Aliquot sequence: 1,002,960 → 2,865,840 → 6,019,008 → 11,537,472 → 18,989,264 → 24,712,180 → 27,284,492 → 21,233,908 → 16,480,524 → 25,974,196 → 19,480,654 → 10,362,194 → 5,324,026 → 3,131,834 → 1,565,920 → 2,133,944 → 1,895,056 — unresolved within range

Continued fraction of √n

√1,002,960 = [1001; (2, 11, 2, 1, 5, 3, 3, 3, 8, 5, 2, 2, 1, 30, 1, 1, 2, 2, 2, 1, 1, 1, 3, 222, …)]

Period length 48 — the block in parentheses repeats forever.

Representations

In words: one million two thousand nine hundred sixty
Ordinal: 1002960th
Binary: 11110100110111010000
Octal: 3646720
Hexadecimal: 0xF4DD0
Base64: D03Q
One's complement: 4,293,964,335 (32-bit)
Scientific notation: 1.00296 × 10⁶
As a duration: 1,002,960 s = 11 days, 14 hours, 36 minutes

In other bases

ternary (3) 1212221210200

quaternary (4) 3310313100

quinary (5) 224043320

senary (6) 33255200

septenary (7) 11345040

nonary (9) 1787720

undecimal (11) 6255a2

duodecimal (12) 404500

tridecimal (13) 29168a

tetradecimal (14) 1c1720

pentadecimal (15) 14c290

As an angle

1,002,960° = 2,786 × 360°

0° ≈ 0 rad

Compass bearing: N (north)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓁨𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Chinese: 一百萬二千九百六十
Chinese (financial): 壹佰萬貳仟玖佰陸拾

In other modern scripts

Eastern Arabic ١٠٠٢٩٦٠ Devanagari १००२९६० Bengali ১০০২৯৬০ Tamil ௧௦௦௨௯௬௦ Thai ๑๐๐๒๙๖๐ Tibetan ༡༠༠༢༩༦༠ Khmer ១០០២៩៦០ Lao ໑໐໐໒໙໖໐ Burmese ၁၀၀၂၉၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1002960, here are decompositions:

29 + 1002931 = 1002960
31 + 1002929 = 1002960
43 + 1002917 = 1002960
47 + 1002913 = 1002960
61 + 1002899 = 1002960
67 + 1002893 = 1002960
73 + 1002887 = 1002960
89 + 1002871 = 1002960

Showing the first eight; more decompositions exist.

Hex color

#0F4DD0

RGB(15, 77, 208)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.77.208.

Address: 0.15.77.208
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.77.208

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 1,002,960 and was likely granted around 1911.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US1,002,960 on Google Patents ↗ Look up on USPTO ↗