Search a number
-
+
131075928 = 2333606833
BaseRepresentation
bin1111101000000…
…00111101011000
3100010122100101000
413310000331120
5232023412203
621001225000
73151061364
oct764007530
9303570330
10131075928
1167a97315
1237a92160
1321204429
14135a02a4
15b7924a3
hex7d00f58

131075928 has 32 divisors (see below), whose sum is σ = 364100400. Its totient is φ = 43691904.

The previous prime is 131075921. The next prime is 131075977. The reversal of 131075928 is 829570131.

It is a super-2 number, since 2×1310759282 = 34361797802122368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 131075892 and 131075901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131075921) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 303201 + ... + 303632.

Almost surely, 2131075928 is an apocalyptic number.

131075928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

131075928 is an abundant number, since it is smaller than the sum of its proper divisors (233024472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131075928 is a wasteful number, since it uses less digits than its factorization.

131075928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606848 (or 606838 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 131075928 is about 11448.8395918538. The cubic root of 131075928 is about 507.9734108885.

The spelling of 131075928 in words is "one hundred thirty-one million, seventy-five thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 606833 1213666 1820499 2427332 3640998 4854664 5461497 7281996 10922994 14563992 16384491 21845988 32768982 43691976 65537964 131075928