138,920
138,920 is a composite number, even.
138,920 (one hundred thirty-eight thousand nine hundred twenty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 5 × 23 × 151. Its proper divisors sum to 189,400, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21EA8.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 23
- Digit product
- 0
- Digital root
- 5
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 29,831
- Recamán's sequence
- a(490,987) = 138,920
- Square (n²)
- 19,298,766,400
- Cube (n³)
- 2,680,984,628,288,000
- Divisor count
- 32
- σ(n) — sum of divisors
- 328,320
- φ(n) — Euler's totient
- 52,800
- Sum of prime factors
- 185
Primality
Prime factorization: 2 3 × 5 × 23 × 151
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√138,920 = [372; (1, 2, 1, 1, 3, 5, 1, 2, 1, 2, 1, 1, 1, 5, 1, 1, 8, 1, 8, 1, 1, 5, 1, 1, …)]
Period length 36 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-eight thousand nine hundred twenty
- Ordinal
- 138920th
- Binary
- 100001111010101000
- Octal
- 417250
- Hexadecimal
- 0x21EA8
- Base64
- Ah6o
- One's complement
- 4,294,828,375 (32-bit)
- Scientific notation
- 1.3892 × 10⁵
- As a duration
- 138,920 s = 1 day, 14 hours, 35 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵ρληϡκʹ
- Mayan (base 20)
- 𝋱·𝋧·𝋦·𝋠
- Chinese
- 一十三萬八千九百二十
- Chinese (financial)
- 壹拾參萬捌仟玖佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138920, here are decompositions:
- 3 + 138917 = 138920
- 31 + 138889 = 138920
- 37 + 138883 = 138920
- 79 + 138841 = 138920
- 127 + 138793 = 138920
- 157 + 138763 = 138920
- 181 + 138739 = 138920
- 193 + 138727 = 138920
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 BA A8 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.30.168.
- Address
- 0.2.30.168
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.30.168
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 138,920 and was likely granted around 1872.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 138920 first appears in π at position 397,728 of the decimal expansion (the 397,728ordinal-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.