Base | Representation |
---|---|
bin | 1111101111000… |
… | …00111101100000 |
3 | 100012100221221221 |
4 | 13313200331200 |
5 | 232242242230 |
6 | 21033024424 |
7 | 3161632345 |
oct | 767407540 |
9 | 305327857 |
10 | 131993440 |
11 | 68563697 |
12 | 38255114 |
13 | 21465c37 |
14 | 1375c7cc |
15 | b8c427a |
hex | 7de0f60 |
131993440 has 48 divisors (see below), whose sum is σ = 330184512. Its totient is φ = 49690624.
The previous prime is 131993431. The next prime is 131993483. The reversal of 131993440 is 44399131.
It is a Harshad number since it is a multiple of its sum of digits (34).
It is a junction number, because it is equal to n+sod(n) for n = 131993396 and 131993405.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21544 + ... + 26983.
It is an arithmetic number, because the mean of its divisors is an integer number (6878844).
Almost surely, 2131993440 is an apocalyptic number.
131993440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
131993440 is an abundant number, since it is smaller than the sum of its proper divisors (198191072).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131993440 is a wasteful number, since it uses less digits than its factorization.
131993440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 48559 (or 48551 counting only the distinct ones).
The product of its (nonzero) digits is 11664, while the sum is 34.
The square root of 131993440 is about 11488.8398021732. The cubic root of 131993440 is about 509.1559021847.
The spelling of 131993440 in words is "one hundred thirty-one million, nine hundred ninety-three thousand, four hundred forty".
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