Live analysis

133,710

133,710 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.).

133,710 (one hundred thirty-three thousand seven hundred ten) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 5 × 4,457. Its proper divisors sum to 187,266, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20A4E.

Abundant Number Arithmetic Number Cube-Free Gapful Number Harshad / Niven Odious Number Pernicious Number Self Number Semiperfect Number Squarefree

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

133,698 133,699 133,700 133,701 133,702 133,703 133,704 133,705 133,706 133,707 133,708 133,709 133,710 133,711 133,712 133,713 133,714 133,715 133,716 133,717 133,718 133,719 133,720 133,721 133,722

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 18 bits
Reversed: 17,331
Square (n²): 17,878,364,100
Cube (n³): 2,390,516,063,811,000
Divisor count: 16
σ(n) — sum of divisors: 320,976
φ(n) — Euler's totient: 35,648
Sum of prime factors: 4,467

Primality

Prime factorization: 2 × 3 × 5 × 4457

Nearest primes: 133,709 (−1) · 133,711 (+1)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 5 · 6 · 10 · 15 · 30 · 4457 · 8914 · 13371 · 22285 · 26742 · 44570 · 66855 (half) · 133710

Aliquot sum (sum of proper divisors): 187,266

Factor pairs (a × b = 133,710)

1 × 133710

2 × 66855

3 × 44570

5 × 26742

6 × 22285

10 × 13371

15 × 8914

30 × 4457

First multiples

133,710 · 267,420 (double) · 401,130 · 534,840 · 668,550 · 802,260 · 935,970 · 1,069,680 · 1,203,390 · 1,337,100

Sums & aliquot sequence

As consecutive integers: 44,569 + 44,570 + 44,571 33,426 + 33,427 + 33,428 + 33,429 26,740 + 26,741 + 26,742 + 26,743 + 26,744 11,137 + 11,138 + … + 11,148

Aliquot sequence: 133,710 → 187,266 → 210,894 → 210,906 → 246,096 → 443,034 → 529,158 → 712,698 → 946,182 → 1,007,610 → 1,410,726 → 1,427,802 → 1,427,814 → 1,784,826 → 2,108,154 → 2,108,166 → 2,108,178 — unresolved within range

Continued fraction of √n

√133,710 = [365; (1, 1, 1, 37, 1, 4, 1, 2, 3, 1, 1, 2, 1, 2, 24, 1, 5, 1, 2, 4, 1, 10, 3, 1, …)]

Representations

In words: one hundred thirty-three thousand seven hundred ten
Ordinal: 133710th
Binary: 100000101001001110
Octal: 405116
Hexadecimal: 0x20A4E
Base64: AgpO
One's complement: 4,294,833,585 (32-bit)
Scientific notation: 1.3371 × 10⁵
As a duration: 133,710 s = 1 day, 13 hours, 8 minutes, 30 seconds

In other bases

ternary (3) 20210102020

quaternary (4) 200221032

quinary (5) 13234320

senary (6) 2511010

septenary (7) 1064553

nonary (9) 223366

undecimal (11) 91505

duodecimal (12) 65466

tridecimal (13) 48b25

tetradecimal (14) 36a2a

pentadecimal (15) 29940

As an angle

133,710° = 371 × 360° + 150°

150° ≈ 2.618 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆
Greek (Milesian): ͵ρλγψιʹ
Mayan (base 20): 𝋰·𝋮·𝋥·𝋪
Chinese: 一十三萬三千七百一十
Chinese (financial): 壹拾參萬參仟柒佰壹拾

In other modern scripts

Eastern Arabic ١٣٣٧١٠ Devanagari १३३७१० Bengali ১৩৩৭১০ Tamil ௧௩௩௭௧௦ Thai ๑๓๓๗๑๐ Tibetan ༡༣༣༧༡༠ Khmer ១៣៣៧១០ Lao ໑໓໓໗໑໐ Burmese ၁၃၃၇၁၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133710, here are decompositions:

13 + 133697 = 133710
19 + 133691 = 133710
37 + 133673 = 133710
41 + 133669 = 133710
53 + 133657 = 133710
61 + 133649 = 133710
79 + 133631 = 133710
113 + 133597 = 133710

Showing the first eight; more decompositions exist.

Unicode codepoint

𠩎

CJK Unified Ideograph-20A4E

U+20A4E

Other letter (Lo)

UTF-8 encoding: F0 A0 A9 8E (4 bytes).

Lookup U+20A4E on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#020A4E

RGB(2, 10, 78)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.78.

Address: 0.2.10.78
Class: reserved
IPv4-mapped IPv6: ::ffff:0.2.10.78

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 133,710 and was likely granted around 1872.

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

Look up US133,710 on Google Patents ↗ Look up on USPTO ↗