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135,920

135,920 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.).

135,920 (one hundred thirty-five thousand nine hundred twenty) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 5 × 1,699. Its proper divisors sum to 180,280, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x212F0.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Pernicious Number Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
29,531
Square (n²)
18,474,246,400
Cube (n³)
2,511,019,570,688,000
Divisor count
20
σ(n) — sum of divisors
316,200
φ(n) — Euler's totient
54,336
Sum of prime factors
1,712

Primality

Prime factorization: 2 4 × 5 × 1699

Nearest primes: 135,913 (−7) · 135,929 (+9)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 40 · 80 · 1699 · 3398 · 6796 · 8495 · 13592 · 16990 · 27184 · 33980 · 67960 (half) · 135920
Aliquot sum (sum of proper divisors): 180,280
Factor pairs (a × b = 135,920)
1 × 135920
2 × 67960
4 × 33980
5 × 27184
8 × 16990
10 × 13592
16 × 8495
20 × 6796
40 × 3398
80 × 1699
First multiples
135,920 · 271,840 (double) · 407,760 · 543,680 · 679,600 · 815,520 · 951,440 · 1,087,360 · 1,223,280 · 1,359,200

Sums & aliquot sequence

As consecutive integers: 27,182 + 27,183 + 27,184 + 27,185 + 27,186 4,232 + 4,233 + … + 4,263 770 + 771 + … + 929
Aliquot sequence: 135,920 180,280 225,440 307,540 338,336 340,804 255,610 204,506 102,256 147,728 179,632 175,008 284,640 613,488 971,480 1,242,520 1,553,240 — unresolved within range

Continued fraction of √n

√135,920 = [368; (1, 2, 16, 2, 2, 1, 4, 5, 1, 7, 2, 4, 9, 9, 9, 4, 2, 7, 1, 5, 4, 1, 2, 2, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-five thousand nine hundred twenty
Ordinal
135920th
Binary
100001001011110000
Octal
411360
Hexadecimal
0x212F0
Base64
AhLw
One's complement
4,294,831,375 (32-bit)
Scientific notation
1.3592 × 10⁵
As a duration
135,920 s = 1 day, 13 hours, 45 minutes, 20 seconds
In other bases
ternary (3) 20220110002
quaternary (4) 201023300
quinary (5) 13322140
senary (6) 2525132
septenary (7) 1104161
nonary (9) 226402
undecimal (11) 93134
duodecimal (12) 667a8
tridecimal (13) 49b35
tetradecimal (14) 37768
pentadecimal (15) 2a415

As an angle

135,920° = 377 × 360° + 200°
200° ≈ 3.491 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ρλεϡκʹ
Mayan (base 20)
𝋰·𝋳·𝋰·𝋠
Chinese
一十三萬五千九百二十
Chinese (financial)
壹拾參萬伍仟玖佰貳拾
In other modern scripts
Eastern Arabic ١٣٥٩٢٠ Devanagari १३५९२० Bengali ১৩৫৯২০ Tamil ௧௩௫௯௨௦ Thai ๑๓๕๙๒๐ Tibetan ༡༣༥༩༢༠ Khmer ១៣៥៩២០ Lao ໑໓໕໙໒໐ Burmese ၁၃၅၉၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 135920, here are decompositions:

  • 7 + 135913 = 135920
  • 61 + 135859 = 135920
  • 79 + 135841 = 135920
  • 139 + 135781 = 135920
  • 163 + 135757 = 135920
  • 193 + 135727 = 135920
  • 199 + 135721 = 135920
  • 223 + 135697 = 135920

Showing the first eight; more decompositions exist.

Unicode codepoint
𡋰
CJK Unified Ideograph-212F0
U+212F0
Other letter (Lo)

UTF-8 encoding: F0 A1 8B B0 (4 bytes).

Hex color
#0212F0
RGB(2, 18, 240)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.18.240.

Address
0.2.18.240
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.18.240

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 135,920 and was likely granted around 1872.

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

Position in π

The digit sequence 135920 first appears in π at position 20,108 of the decimal expansion (the 20,108ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.