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135,900

135,900 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.).

135,900 (one hundred thirty-five thousand nine hundred) is an even 6-digit number. It is a composite number with 54 divisors, and factors as 2² × 3² × 5² × 151. Its proper divisors sum to 292,892, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x212DC.

Abundant Number Cube-Free Evil Number Gapful Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
9,531
Square (n²)
18,468,810,000
Cube (n³)
2,509,911,279,000,000
Divisor count
54
σ(n) — sum of divisors
428,792
φ(n) — Euler's totient
36,000
Sum of prime factors
171

Primality

Prime factorization: 2 2 × 3 2 × 5 2 × 151

Nearest primes: 135,899 (−1) · 135,911 (+11)

Divisors & multiples

All divisors (54)
1 · 2 · 3 · 4 · 5 · 6 · 9 · 10 · 12 · 15 · 18 · 20 · 25 · 30 · 36 · 45 · 50 · 60 · 75 · 90 · 100 · 150 · 151 · 180 · 225 · 300 · 302 · 450 · 453 · 604 · 755 · 900 · 906 · 1359 · 1510 · 1812 · 2265 · 2718 · 3020 · 3775 · 4530 · 5436 · 6795 · 7550 · 9060 · 11325 · 13590 · 15100 · 22650 · 27180 · 33975 · 45300 · 67950 (half) · 135900
Aliquot sum (sum of proper divisors): 292,892
Factor pairs (a × b = 135,900)
1 × 135900
2 × 67950
3 × 45300
4 × 33975
5 × 27180
6 × 22650
9 × 15100
10 × 13590
12 × 11325
15 × 9060
18 × 7550
20 × 6795
25 × 5436
30 × 4530
36 × 3775
45 × 3020
50 × 2718
60 × 2265
75 × 1812
90 × 1510
100 × 1359
150 × 906
151 × 900
180 × 755
225 × 604
300 × 453
302 × 450
First multiples
135,900 · 271,800 (double) · 407,700 · 543,600 · 679,500 · 815,400 · 951,300 · 1,087,200 · 1,223,100 · 1,359,000

Sums & aliquot sequence

As consecutive integers: 45,299 + 45,300 + 45,301 27,178 + 27,179 + 27,180 + 27,181 + 27,182 16,984 + 16,985 + … + 16,991 15,096 + 15,097 + … + 15,104
Aliquot sequence: 135,900 292,892 233,788 178,764 238,380 457,140 893,580 1,664,724 2,219,660 2,769,940 3,046,976 2,999,494 1,507,994 760,006 467,738 275,194 137,600 — unresolved within range

Continued fraction of √n

√135,900 = [368; (1, 1, 1, 4, 1, 3, 12, 1, 9, 2, 5, 1, 2, 1, 1, 3, 5, 2, 1, 6, 1, 2, 5, 3, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-five thousand nine hundred
Ordinal
135900th
Binary
100001001011011100
Octal
411334
Hexadecimal
0x212DC
Base64
AhLc
One's complement
4,294,831,395 (32-bit)
Scientific notation
1.359 × 10⁵
As a duration
135,900 s = 1 day, 13 hours, 45 minutes
In other bases
ternary (3) 20220102100
quaternary (4) 201023130
quinary (5) 13322100
senary (6) 2525100
septenary (7) 1104132
nonary (9) 226370
undecimal (11) 93116
duodecimal (12) 66790
tridecimal (13) 49b1b
tetradecimal (14) 37752
pentadecimal (15) 2a400

As an angle

135,900° = 377 × 360° + 180°
180° ≈ 3.142 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢
Greek (Milesian)
͵ρλεϡʹ
Mayan (base 20)
𝋰·𝋳·𝋯·𝋠
Chinese
一十三萬五千九百
Chinese (financial)
壹拾參萬伍仟玖佰
In other modern scripts
Eastern Arabic ١٣٥٩٠٠ Devanagari १३५९०० Bengali ১৩৫৯০০ Tamil ௧௩௫௯௦௦ Thai ๑๓๕๙๐๐ Tibetan ༡༣༥༩༠༠ Khmer ១៣៥៩០០ Lao ໑໓໕໙໐໐ Burmese ၁၃၅၉၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 135900, here are decompositions:

  • 7 + 135893 = 135900
  • 13 + 135887 = 135900
  • 41 + 135859 = 135900
  • 59 + 135841 = 135900
  • 71 + 135829 = 135900
  • 101 + 135799 = 135900
  • 113 + 135787 = 135900
  • 157 + 135743 = 135900

Showing the first eight; more decompositions exist.

Unicode codepoint
𡋜
CJK Unified Ideograph-212Dc
U+212DC
Other letter (Lo)

UTF-8 encoding: F0 A1 8B 9C (4 bytes).

Hex color
#0212DC
RGB(2, 18, 220)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.18.220.

Address
0.2.18.220
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.18.220

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 135,900 and was likely granted around 1872.

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

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.