Live analysis

1,012,960

1,012,960 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.).

1,012,960 (one million twelve thousand nine hundred sixty) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 5 × 13 × 487. Its proper divisors sum to 1,569,536, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF74E0.

Abundant Number Arithmetic Number Gapful Number Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,012,948 1,012,949 1,012,950 1,012,951 1,012,952 1,012,953 1,012,954 1,012,955 1,012,956 1,012,957 1,012,958 1,012,959 1,012,960 1,012,961 1,012,962 1,012,963 1,012,964 1,012,965 1,012,966 1,012,967 1,012,968 1,012,969 1,012,970 1,012,971 1,012,972

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 19
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 20 bits
Reversed: 692,101
Square (n²): 1,026,087,961,600
Cube (n³): 1,039,386,061,582,336,000
Divisor count: 48
σ(n) — sum of divisors: 2,582,496
φ(n) — Euler's totient: 373,248
Sum of prime factors: 515

Primality

Prime factorization: 2 ⁵ × 5 × 13 × 487

Nearest primes: 1,012,931 (−29) · 1,012,967 (+7)

Divisors & multiples

All divisors (48)

1 · 2 · 4 · 5 · 8 · 10 · 13 · 16 · 20 · 26 · 32 · 40 · 52 · 65 · 80 · 104 · 130 · 160 · 208 · 260 · 416 · 487 · 520 · 974 · 1040 · 1948 · 2080 · 2435 · 3896 · 4870 · 6331 · 7792 · 9740 · 12662 · 15584 · 19480 · 25324 · 31655 · 38960 · 50648 · 63310 · 77920 · 101296 · 126620 · 202592 · 253240 · 506480 (half) · 1012960

Aliquot sum (sum of proper divisors): 1,569,536

Factor pairs (a × b = 1,012,960)

1 × 1012960

2 × 506480

4 × 253240

5 × 202592

8 × 126620

10 × 101296

13 × 77920

16 × 63310

20 × 50648

26 × 38960

32 × 31655

40 × 25324

52 × 19480

65 × 15584

80 × 12662

104 × 9740

130 × 7792

160 × 6331

208 × 4870

260 × 3896

416 × 2435

487 × 2080

520 × 1948

974 × 1040

First multiples

1,012,960 · 2,025,920 (double) · 3,038,880 · 4,051,840 · 5,064,800 · 6,077,760 · 7,090,720 · 8,103,680 · 9,116,640 · 10,129,600

Sums & aliquot sequence

As consecutive integers: 202,590 + 202,591 + 202,592 + 202,593 + 202,594 77,914 + 77,915 + … + 77,926 15,796 + 15,797 + … + 15,859 15,552 + 15,553 + … + 15,616

Aliquot sequence: 1,012,960 → 1,569,536 → 1,563,916 → 1,247,172 → 1,731,804 → 2,331,444 → 3,414,156 → 4,629,684 → 6,234,316 → 5,667,644 → 4,592,956 → 3,471,324 → 4,767,396 → 6,356,556 → 11,003,556 → 16,182,204 → 21,576,300 — unresolved within range

Continued fraction of √n

√1,012,960 = [1006; (2, 5, 1, 1, 1, 1, 1, 1, 1, 2, 1, 40, 2, 1, 4, 5, 1, 9, 2, 3, 8, 2, 2, 1, …)]

Period length 52 — the block in parentheses repeats forever.

Representations

In words: one million twelve thousand nine hundred sixty
Ordinal: 1012960th
Binary: 11110111010011100000
Octal: 3672340
Hexadecimal: 0xF74E0
Base64: D3Tg
One's complement: 4,293,954,335 (32-bit)
Scientific notation: 1.01296 × 10⁶
As a duration: 1,012,960 s = 11 days, 17 hours, 22 minutes, 40 seconds

In other bases

ternary (3) 1220110112001

quaternary (4) 3313103200

quinary (5) 224403320

senary (6) 33413344

septenary (7) 11416144

nonary (9) 1813461

undecimal (11) 632063

duodecimal (12) 40a254

tridecimal (13) 2960b0

tetradecimal (14) 1c5224

pentadecimal (15) 15020a

As an angle

1,012,960° = 2,813 × 360° + 280°

280° ≈ 4.887 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Chinese: 一百零一萬二千九百六十
Chinese (financial): 壹佰零壹萬貳仟玖佰陸拾

In other modern scripts

Eastern Arabic ١٠١٢٩٦٠ Devanagari १०१२९६० Bengali ১০১২৯৬০ Tamil ௧௦௧௨௯௬௦ Thai ๑๐๑๒๙๖๐ Tibetan ༡༠༡༢༩༦༠ Khmer ១០១២៩៦០ Lao ໑໐໑໒໙໖໐ Burmese ၁၀၁၂၉၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1012960, here are decompositions:

29 + 1012931 = 1012960
41 + 1012919 = 1012960
131 + 1012829 = 1012960
149 + 1012811 = 1012960
191 + 1012769 = 1012960
197 + 1012763 = 1012960
227 + 1012733 = 1012960
239 + 1012721 = 1012960

Showing the first eight; more decompositions exist.

Hex color

#0F74E0

RGB(15, 116, 224)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.116.224.

Address: 0.15.116.224
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.116.224

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

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 1, 2960 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

2960-10-01 (MMDYYYY (US, single-digit day))
2960-01-10 (DDMYYYY (Euro, single-digit month))

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 1,012,960 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 US1,012,960 on Google Patents ↗ Look up on USPTO ↗