137,920
137,920 is a composite number, even.
137,920 (one hundred thirty-seven thousand nine hundred twenty) is an even 6-digit number. It is a composite number with 28 divisors, and factors as 2⁶ × 5 × 431. Its proper divisors sum to 191,264, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21AC0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 22
- Digit product
- 0
- Digital root
- 4
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 29,731
- Recamán's sequence
- a(492,987) = 137,920
- Square (n²)
- 19,021,926,400
- Cube (n³)
- 2,623,504,089,088,000
- Divisor count
- 28
- σ(n) — sum of divisors
- 329,184
- φ(n) — Euler's totient
- 55,040
- Sum of prime factors
- 448
Primality
Prime factorization: 2 6 × 5 × 431
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√137,920 = [371; (2, 1, 1, 1, 18, 2, 2, 1, 1, 1, 1, 1, 3, 8, 1, 8, 2, 1, 1, 4, 1, 1, 8, 1, …)]
Representations
- In words
- one hundred thirty-seven thousand nine hundred twenty
- Ordinal
- 137920th
- Binary
- 100001101011000000
- Octal
- 415300
- Hexadecimal
- 0x21AC0
- Base64
- AhrA
- One's complement
- 4,294,829,375 (32-bit)
- Scientific notation
- 1.3792 × 10⁵
- As a duration
- 137,920 s = 1 day, 14 hours, 18 minutes, 40 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵ρλζϡκʹ
- Mayan (base 20)
- 𝋱·𝋤·𝋰·𝋠
- Chinese
- 一十三萬七千九百二十
- Chinese (financial)
- 壹拾參萬柒仟玖佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137920, here are decompositions:
- 11 + 137909 = 137920
- 47 + 137873 = 137920
- 53 + 137867 = 137920
- 71 + 137849 = 137920
- 89 + 137831 = 137920
- 149 + 137771 = 137920
- 197 + 137723 = 137920
- 281 + 137639 = 137920
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 AB 80 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.26.192.
- Address
- 0.2.26.192
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.26.192
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 137,920 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 137920 first appears in π at position 487,250 of the decimal expansion (the 487,250ordinal-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
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.