Live analysis

1,008,960

1,008,960 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.).

1,008,960 (one million eight thousand nine hundred sixty) is an even 7-digit number. It is a composite number with 56 divisors, and factors as 2⁶ × 3 × 5 × 1,051. Its proper divisors sum to 2,197,536, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF6540.

Abundant Number Flippable Gapful Number Harshad / Niven Odious Number Practical Number Recamán's Sequence Self Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

1,008,948 1,008,949 1,008,950 1,008,951 1,008,952 1,008,953 1,008,954 1,008,955 1,008,956 1,008,957 1,008,958 1,008,959 1,008,960 1,008,961 1,008,962 1,008,963 1,008,964 1,008,965 1,008,966 1,008,967 1,008,968 1,008,969 1,008,970 1,008,971 1,008,972

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 24
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 698,001
Flips to (rotate 180°): 968,001
Recamán's sequence: a(347,531) = 1,008,960
Square (n²): 1,018,000,281,600
Cube (n³): 1,027,121,564,123,136,000
Divisor count: 56
σ(n) — sum of divisors: 3,206,496
φ(n) — Euler's totient: 268,800
Sum of prime factors: 1,071

Primality

Prime factorization: 2 ⁶ × 3 × 5 × 1051

Nearest primes: 1,008,947 (−13) · 1,008,979 (+19)

Divisors & multiples

All divisors (56)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 30 · 32 · 40 · 48 · 60 · 64 · 80 · 96 · 120 · 160 · 192 · 240 · 320 · 480 · 960 · 1051 · 2102 · 3153 · 4204 · 5255 · 6306 · 8408 · 10510 · 12612 · 15765 · 16816 · 21020 · 25224 · 31530 · 33632 · 42040 · 50448 · 63060 · 67264 · 84080 · 100896 · 126120 · 168160 · 201792 · 252240 · 336320 · 504480 (half) · 1008960

Aliquot sum (sum of proper divisors): 2,197,536

Factor pairs (a × b = 1,008,960)

1 × 1008960

2 × 504480

3 × 336320

4 × 252240

5 × 201792

6 × 168160

8 × 126120

10 × 100896

12 × 84080

15 × 67264

16 × 63060

20 × 50448

24 × 42040

30 × 33632

32 × 31530

40 × 25224

48 × 21020

60 × 16816

64 × 15765

80 × 12612

96 × 10510

120 × 8408

160 × 6306

192 × 5255

240 × 4204

320 × 3153

480 × 2102

960 × 1051

First multiples

1,008,960 · 2,017,920 (double) · 3,026,880 · 4,035,840 · 5,044,800 · 6,053,760 · 7,062,720 · 8,071,680 · 9,080,640 · 10,089,600

Sums & aliquot sequence

As consecutive integers: 336,319 + 336,320 + 336,321 201,790 + 201,791 + 201,792 + 201,793 + 201,794 67,257 + 67,258 + … + 67,271 7,819 + 7,820 + … + 7,946

Aliquot sequence: 1,008,960 → 2,197,536 → 4,098,432 → 7,639,728 → 12,096,360 → 27,217,980 → 56,320,020 → 115,822,860 → 225,553,140 → 476,169,420 → 858,206,868 → 1,145,052,012 → 1,771,702,388 → 1,329,104,944 → 1,246,035,916 → 934,785,804 → 1,292,426,484 — unresolved within range

Continued fraction of √n

√1,008,960 = [1004; (2, 7, 1, 5, 10, 2, 1, 6, 1, 9, 2, 1, 1, 1, 2, 1, 1, 7, 3, 1, 2, 1, 4, 1, …)]

Period length 54 — the block in parentheses repeats forever.

Representations

In words: one million eight thousand nine hundred sixty
Ordinal: 1008960th
Binary: 11110110010101000000
Octal: 3662500
Hexadecimal: 0xF6540
Base64: D2VA
One's complement: 4,293,958,335 (32-bit)
Scientific notation: 1.00896 × 10⁶
As a duration: 1,008,960 s = 11 days, 16 hours, 16 minutes

In other bases

ternary (3) 1220021000220

quaternary (4) 3312111000

quinary (5) 224241320

senary (6) 33343040

septenary (7) 11401401

nonary (9) 1807026

undecimal (11) 62a057

duodecimal (12) 407a80

tridecimal (13) 294324

tetradecimal (14) 1c39a8

pentadecimal (15) 14de40

As an angle

1,008,960° = 2,802 × 360° + 240°

240° ≈ 4.189 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Chinese: 一百萬八千九百六十
Chinese (financial): 壹佰萬捌仟玖佰陸拾

In other modern scripts

Eastern Arabic ١٠٠٨٩٦٠ Devanagari १००८९६० Bengali ১০০৮৯৬০ Tamil ௧௦௦௮௯௬௦ Thai ๑๐๐๘๙๖๐ Tibetan ༡༠༠༨༩༦༠ Khmer ១០០៨៩៦០ Lao ໑໐໐໘໙໖໐ Burmese ၁၀၀၈၉၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1008960, here are decompositions:

13 + 1008947 = 1008960
23 + 1008937 = 1008960
37 + 1008923 = 1008960
47 + 1008913 = 1008960
59 + 1008901 = 1008960
89 + 1008871 = 1008960
97 + 1008863 = 1008960
101 + 1008859 = 1008960

Showing the first eight; more decompositions exist.

Hex color

#0F6540

RGB(15, 101, 64)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.101.64.

Address: 0.15.101.64
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.101.64

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 1,008,960 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 US1,008,960 on Google Patents ↗ Look up on USPTO ↗