Live analysis

1,013,068

1,013,068 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.).

1,013,068 (one million thirteen thousand sixty-eight) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2² × 7 × 97 × 373. Its proper divisors sum to 1,039,444, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF754C.

Abundant Number Cube-Free Evil Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

1,013,056 1,013,057 1,013,058 1,013,059 1,013,060 1,013,061 1,013,062 1,013,063 1,013,064 1,013,065 1,013,066 1,013,067 1,013,068 1,013,069 1,013,070 1,013,071 1,013,072 1,013,073 1,013,074 1,013,075 1,013,076 1,013,077 1,013,078 1,013,079 1,013,080

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 19
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 20 bits
Reversed: 8,603,101
Square (n²): 1,026,306,772,624
Cube (n³): 1,039,718,549,528,650,432
Divisor count: 24
σ(n) — sum of divisors: 2,052,512
φ(n) — Euler's totient: 428,544
Sum of prime factors: 481

Primality

Prime factorization: 2 ² × 7 × 97 × 373

Nearest primes: 1,013,063 (−5) · 1,013,143 (+75)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 7 · 14 · 28 · 97 · 194 · 373 · 388 · 679 · 746 · 1358 · 1492 · 2611 · 2716 · 5222 · 10444 · 36181 · 72362 · 144724 · 253267 · 506534 (half) · 1013068

Aliquot sum (sum of proper divisors): 1,039,444

Factor pairs (a × b = 1,013,068)

1 × 1013068

2 × 506534

4 × 253267

7 × 144724

14 × 72362

28 × 36181

97 × 10444

194 × 5222

373 × 2716

388 × 2611

679 × 1492

746 × 1358

First multiples

1,013,068 · 2,026,136 (double) · 3,039,204 · 4,052,272 · 5,065,340 · 6,078,408 · 7,091,476 · 8,104,544 · 9,117,612 · 10,130,680

Sums & aliquot sequence

As consecutive integers: 144,721 + 144,722 + … + 144,727 126,630 + 126,631 + … + 126,637 18,063 + 18,064 + … + 18,118 10,396 + 10,397 + … + 10,492

Aliquot sequence: 1,013,068 → 1,039,444 → 1,039,500 → 3,153,780 → 7,783,692 → 14,069,748 → 26,863,116 → 45,653,748 → 76,089,804 → 131,144,244 → 250,368,972 → 417,281,844 → 715,341,900 → 1,832,106,164 → 1,832,106,220 → 2,564,949,044 → 2,566,026,316 — unresolved within range

Continued fraction of √n

√1,013,068 = [1006; (1, 1, 19, 22, 1, 4, 1, 2, 6, 1, 6, 4, 74, 3, 5, 1, 4, 1, 2, 4, 1, 4, 1, 1, …)]

Representations

In words: one million thirteen thousand sixty-eight
Ordinal: 1013068th
Binary: 11110111010101001100
Octal: 3672514
Hexadecimal: 0xF754C
Base64: D3VM
One's complement: 4,293,954,227 (32-bit)
Scientific notation: 1.013068 × 10⁶
As a duration: 1,013,068 s = 11 days, 17 hours, 24 minutes, 28 seconds

In other bases

ternary (3) 1220110200001

quaternary (4) 3313111030

quinary (5) 224404233

senary (6) 33414044

septenary (7) 11416360

nonary (9) 1813601

undecimal (11) 632151

duodecimal (12) 40a324

tridecimal (13) 296164

tetradecimal (14) 1c52a0

pentadecimal (15) 15027d

As an angle

1,013,068° = 2,814 × 360° + 28°

28° ≈ 0.489 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百零一萬三千零六十八
Chinese (financial): 壹佰零壹萬參仟零陸拾捌

In other modern scripts

Eastern Arabic ١٠١٣٠٦٨ Devanagari १०१३०६८ Bengali ১০১৩০৬৮ Tamil ௧௦௧௩௦௬௮ Thai ๑๐๑๓๐๖๘ Tibetan ༡༠༡༣༠༦༨ Khmer ១០១៣០៦៨ Lao ໑໐໑໓໐໖໘ Burmese ၁၀၁၃၀၆၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013068, here are decompositions:

5 + 1013063 = 1013068
59 + 1013009 = 1013068
71 + 1012997 = 1013068
101 + 1012967 = 1013068
137 + 1012931 = 1013068
149 + 1012919 = 1013068
239 + 1012829 = 1013068
257 + 1012811 = 1013068

Showing the first eight; more decompositions exist.

Hex color

#0F754C

RGB(15, 117, 76)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.117.76.

Address: 0.15.117.76
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.117.76

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 1, 3068 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3068-10-01 (MMDYYYY (US, single-digit day))
3068-01-10 (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 1,013,068 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 US1,013,068 on Google Patents ↗ Look up on USPTO ↗