133,800
133,800 is a composite number, even.
133,800 (one hundred thirty-three thousand eight hundred) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2³ × 3 × 5² × 223. Its proper divisors sum to 282,840, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20AA8.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 15
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 8,331
- Square (n²)
- 17,902,440,000
- Cube (n³)
- 2,395,346,472,000,000
- Divisor count
- 48
- σ(n) — sum of divisors
- 416,640
- φ(n) — Euler's totient
- 35,520
- Sum of prime factors
- 242
Primality
Prime factorization: 2 3 × 3 × 5 2 × 223
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√133,800 = [365; (1, 3, 1, 2, 4, 4, 10, 14, 1, 4, 1, 28, 2, 3, 6, 1, 2, 1, 29, 1, 2, 1, 6, 3, …)]
Period length 38 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-three thousand eight hundred
- Ordinal
- 133800th
- Binary
- 100000101010101000
- Octal
- 405250
- Hexadecimal
- 0x20AA8
- Base64
- Agqo
- One's complement
- 4,294,833,495 (32-bit)
- Scientific notation
- 1.338 × 10⁵
- As a duration
- 133,800 s = 1 day, 13 hours, 10 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢
- Greek (Milesian)
- ͵ρλγωʹ
- Mayan (base 20)
- 𝋰·𝋮·𝋪·𝋠
- Chinese
- 一十三萬三千八百
- Chinese (financial)
- 壹拾參萬參仟捌佰
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133800, here are decompositions:
- 19 + 133781 = 133800
- 31 + 133769 = 133800
- 67 + 133733 = 133800
- 83 + 133717 = 133800
- 89 + 133711 = 133800
- 103 + 133697 = 133800
- 109 + 133691 = 133800
- 127 + 133673 = 133800
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 AA A8 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.168.
- Address
- 0.2.10.168
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.10.168
Unspecified address (0.0.0.0/8) — "this network" placeholder.
This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 133,800 and was likely granted around 1872.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 133800 first appears in π at position 374,814 of the decimal expansion (the 374,814ordinal-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
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.