Live analysis

1,001,960

1,001,960 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.).

1,001,960 (one million one thousand nine hundred sixty) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2³ × 5 × 37 × 677. Its proper divisors sum to 1,316,800, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF49E8.

Abundant Number Flippable Gapful Number Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,001,948 1,001,949 1,001,950 1,001,951 1,001,952 1,001,953 1,001,954 1,001,955 1,001,956 1,001,957 1,001,958 1,001,959 1,001,960 1,001,961 1,001,962 1,001,963 1,001,964 1,001,965 1,001,966 1,001,967 1,001,968 1,001,969 1,001,970 1,001,971 1,001,972

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 17
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 20 bits
Reversed: 691,001
Flips to (rotate 180°): 961,001
Square (n²): 1,003,923,841,600
Cube (n³): 1,005,891,532,329,536,000
Divisor count: 32
σ(n) — sum of divisors: 2,318,760
φ(n) — Euler's totient: 389,376
Sum of prime factors: 725

Primality

Prime factorization: 2 ³ × 5 × 37 × 677

Nearest primes: 1,001,953 (−7) · 1,001,977 (+17)

Divisors & multiples

All divisors (32)

1 · 2 · 4 · 5 · 8 · 10 · 20 · 37 · 40 · 74 · 148 · 185 · 296 · 370 · 677 · 740 · 1354 · 1480 · 2708 · 3385 · 5416 · 6770 · 13540 · 25049 · 27080 · 50098 · 100196 · 125245 · 200392 · 250490 · 500980 (half) · 1001960

Aliquot sum (sum of proper divisors): 1,316,800

Factor pairs (a × b = 1,001,960)

1 × 1001960

2 × 500980

4 × 250490

5 × 200392

8 × 125245

10 × 100196

20 × 50098

37 × 27080

40 × 25049

74 × 13540

148 × 6770

185 × 5416

296 × 3385

370 × 2708

677 × 1480

740 × 1354

First multiples

1,001,960 · 2,003,920 (double) · 3,005,880 · 4,007,840 · 5,009,800 · 6,011,760 · 7,013,720 · 8,015,680 · 9,017,640 · 10,019,600

Sums & aliquot sequence

As a sum of two squares: 118² + 994² = 194² + 982² = 434² + 902² = 502² + 866²

As consecutive integers: 200,390 + 200,391 + 200,392 + 200,393 + 200,394 62,615 + 62,616 + … + 62,630 27,062 + 27,063 + … + 27,098 12,485 + 12,486 + … + 12,564

Aliquot sequence: 1,001,960 → 1,316,800 → 1,927,288 → 2,069,432 → 1,840,768 → 1,895,492 → 1,484,584 → 1,445,816 → 1,424,824 → 1,246,736 → 1,206,976 → 1,188,244 → 891,190 → 712,970 → 587,350 → 571,058 → 308,794 — unresolved within range

Continued fraction of √n

√1,001,960 = [1000; (1, 47, 1, 4, 1, 5, 3, 1, 27, 2, 3, 2, 2, 1, 9, 1, 1, 49, 1, 1, 9, 1, 2, 2, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words: one million one thousand nine hundred sixty
Ordinal: 1001960th
Binary: 11110100100111101000
Octal: 3644750
Hexadecimal: 0xF49E8
Base64: D0no
One's complement: 4,293,965,335 (32-bit)
Scientific notation: 1.00196 × 10⁶
As a duration: 1,001,960 s = 11 days, 14 hours, 19 minutes, 20 seconds

In other bases

ternary (3) 1212220102122

quaternary (4) 3310213220

quinary (5) 224030320

senary (6) 33250412

septenary (7) 11342111

nonary (9) 1786378

undecimal (11) 624873

duodecimal (12) 403a08

tridecimal (13) 29109b

tetradecimal (14) 1c1208

pentadecimal (15) 14bd25

As an angle

1,001,960° = 2,783 × 360° + 80°

80° ≈ 1.396 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Chinese: 一百萬一千九百六十
Chinese (financial): 壹佰萬壹仟玖佰陸拾

In other modern scripts

Eastern Arabic ١٠٠١٩٦٠ Devanagari १००१९६० Bengali ১০০১৯৬০ Tamil ௧௦௦௧௯௬௦ Thai ๑๐๐๑๙๖๐ Tibetan ༡༠༠༡༩༦༠ Khmer ១០០១៩៦០ Lao ໑໐໐໑໙໖໐ Burmese ၁၀၀၁၉၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001960, here are decompositions:

7 + 1001953 = 1001960
13 + 1001947 = 1001960
19 + 1001941 = 1001960
139 + 1001821 = 1001960
151 + 1001809 = 1001960
163 + 1001797 = 1001960
277 + 1001683 = 1001960
331 + 1001629 = 1001960

Showing the first eight; more decompositions exist.

Hex color

#0F49E8

RGB(15, 73, 232)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.73.232.

Address: 0.15.73.232
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.73.232

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 1,001,960 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 US1,001,960 on Google Patents ↗ Look up on USPTO ↗