138,024
138,024 is a composite number, even.
138,024 (one hundred thirty-eight thousand twenty-four) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2³ × 3⁵ × 71. Its proper divisors sum to 255,096, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21B28.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 18
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 420,831
- Recamán's sequence
- a(492,779) = 138,024
- Square (n²)
- 19,050,624,576
- Cube (n³)
- 2,629,443,406,477,824
- Divisor count
- 48
- σ(n) — sum of divisors
- 393,120
- φ(n) — Euler's totient
- 45,360
- Sum of prime factors
- 92
Primality
Prime factorization: 2 3 × 3 5 × 71
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√138,024 = [371; (1, 1, 15, 3, 4, 4, 1, 8, 2, 1, 2, 1, 10, 5, 32, 9, 7, 29, 1, 1, 2, 1, 1, 1, …)]
Representations
- In words
- one hundred thirty-eight thousand twenty-four
- Ordinal
- 138024th
- Binary
- 100001101100101000
- Octal
- 415450
- Hexadecimal
- 0x21B28
- Base64
- Ahso
- One's complement
- 4,294,829,271 (32-bit)
- Scientific notation
- 1.38024 × 10⁵
- As a duration
- 138,024 s = 1 day, 14 hours, 20 minutes, 24 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋 𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρληκδʹ
- Mayan (base 20)
- 𝋱·𝋥·𝋡·𝋤
- Chinese
- 一十三萬八千零二十四
- Chinese (financial)
- 壹拾參萬捌仟零貳拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138024, here are decompositions:
- 17 + 138007 = 138024
- 31 + 137993 = 138024
- 41 + 137983 = 138024
- 67 + 137957 = 138024
- 83 + 137941 = 138024
- 97 + 137927 = 138024
- 113 + 137911 = 138024
- 151 + 137873 = 138024
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 AC A8 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.27.40.
- Address
- 0.2.27.40
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.27.40
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 138,024 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 138024 first appears in π at position 920,956 of the decimal expansion (the 920,956ordinal-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°.