| Base | Representation |
|---|---|
| bin | 1001000101110… |
| … | …1011111100000 |
| 3 | 2122202021211110 |
| 4 | 2101131133200 |
| 5 | 34230203210 |
| 6 | 3441143320 |
| 7 | 642054036 |
| oct | 221353740 |
| 9 | 78667743 |
| 10 | 38131680 |
| 11 | 1a584994 |
| 12 | 1092ab40 |
| 13 | 7b91332 |
| 14 | 50c8556 |
| 15 | 3533420 |
| hex | 245d7e0 |
38131680 has 96 divisors (see below), whose sum is σ = 127207584. Its totient is φ = 9568256.
The previous prime is 38131657. The next prime is 38131693. The reversal of 38131680 is 8613183.
38131680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-3 number, since 3×381316803 (a number of 24 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5824 + ... + 10496.
It is an arithmetic number, because the mean of its divisors is an integer number (1325079).
Almost surely, 238131680 is an apocalyptic number.
38131680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 38131680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63603792).
38131680 is an abundant number, since it is smaller than the sum of its proper divisors (89075904).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
38131680 is a wasteful number, since it uses less digits than its factorization.
38131680 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4708 (or 4700 counting only the distinct ones).
The product of its (nonzero) digits is 3456, while the sum is 30.
The square root of 38131680 is about 6175.0854245103. The cubic root of 38131680 is about 336.5854306279.
The spelling of 38131680 in words is "thirty-eight million, one hundred thirty-one thousand, six hundred eighty".
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