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135,380

135,380 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.).

135,380 (one hundred thirty-five thousand three hundred eighty) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 7 × 967. Its proper divisors sum to 189,868, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x210D4.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Harshad / Niven 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
83,531
Square (n²)
18,327,744,400
Cube (n³)
2,481,210,036,872,000
Divisor count
24
σ(n) — sum of divisors
325,248
φ(n) — Euler's totient
46,368
Sum of prime factors
983

Primality

Prime factorization: 2 2 × 5 × 7 × 967

Nearest primes: 135,367 (−13) · 135,389 (+9)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 5 · 7 · 10 · 14 · 20 · 28 · 35 · 70 · 140 · 967 · 1934 · 3868 · 4835 · 6769 · 9670 · 13538 · 19340 · 27076 · 33845 · 67690 (half) · 135380
Aliquot sum (sum of proper divisors): 189,868
Factor pairs (a × b = 135,380)
1 × 135380
2 × 67690
4 × 33845
5 × 27076
7 × 19340
10 × 13538
14 × 9670
20 × 6769
28 × 4835
35 × 3868
70 × 1934
140 × 967
First multiples
135,380 · 270,760 (double) · 406,140 · 541,520 · 676,900 · 812,280 · 947,660 · 1,083,040 · 1,218,420 · 1,353,800

Sums & aliquot sequence

As consecutive integers: 27,074 + 27,075 + 27,076 + 27,077 + 27,078 19,337 + 19,338 + … + 19,343 16,919 + 16,920 + … + 16,926 3,851 + 3,852 + … + 3,885
Aliquot sequence: 135,380 189,868 189,924 384,636 699,524 775,180 1,140,020 1,763,020 2,571,380 3,600,268 3,705,716 3,705,772 4,167,828 8,600,172 14,876,820 36,700,524 69,323,940 — unresolved within range

Continued fraction of √n

√135,380 = [367; (1, 15, 1, 2, 1, 1, 1, 5, 2, 4, 8, 1, 37, 1, 5, 4, 1, 3, 2, 1, 2, 45, 1, 1, …)]

Representations

In words
one hundred thirty-five thousand three hundred eighty
Ordinal
135380th
Binary
100001000011010100
Octal
410324
Hexadecimal
0x210D4
Base64
AhDU
One's complement
4,294,831,915 (32-bit)
Scientific notation
1.3538 × 10⁵
As a duration
135,380 s = 1 day, 13 hours, 36 minutes, 20 seconds
In other bases
ternary (3) 20212201002
quaternary (4) 201003110
quinary (5) 13313010
senary (6) 2522432
septenary (7) 1102460
nonary (9) 225632
undecimal (11) 92793
duodecimal (12) 66418
tridecimal (13) 4980b
tetradecimal (14) 374a0
pentadecimal (15) 2a1a5

As an angle

135,380° = 376 × 360° + 20°
20° ≈ 0.349 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλετπʹ
Mayan (base 20)
𝋰·𝋲·𝋩·𝋠
Chinese
一十三萬五千三百八十
Chinese (financial)
壹拾參萬伍仟參佰捌拾
In other modern scripts
Eastern Arabic ١٣٥٣٨٠ Devanagari १३५३८० Bengali ১৩৫৩৮০ Tamil ௧௩௫௩௮௦ Thai ๑๓๕๓๘๐ Tibetan ༡༣༥༣༨༠ Khmer ១៣៥៣៨០ Lao ໑໓໕໓໘໐ Burmese ၁၃၅၃၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 135380, here are decompositions:

  • 13 + 135367 = 135380
  • 31 + 135349 = 135380
  • 61 + 135319 = 135380
  • 79 + 135301 = 135380
  • 97 + 135283 = 135380
  • 103 + 135277 = 135380
  • 109 + 135271 = 135380
  • 139 + 135241 = 135380

Showing the first eight; more decompositions exist.

Unicode codepoint
𡃔
CJK Unified Ideograph-210D4
U+210D4
Other letter (Lo)

UTF-8 encoding: F0 A1 83 94 (4 bytes).

Hex color
#0210D4
RGB(2, 16, 212)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.16.212.

Address
0.2.16.212
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.16.212

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 135,380 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 135380 first appears in π at position 207,769 of the decimal expansion (the 207,769ordinal-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.