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131997528 = 233213141023
BaseRepresentation
bin1111101111000…
…01111101011000
3100012101011120100
413313201331120
5232242410103
621033055400
73161650305
oct767417530
9305334510
10131997528
1168566773
1238257560
1321467a60
14137600ac
15b8c55a3
hex7de1f58

131997528 has 48 divisors (see below), whose sum is σ = 384995520. Its totient is φ = 40614336.

The previous prime is 131997527. The next prime is 131997539. The reversal of 131997528 is 825799131.

131997528 is a `hidden beast` number, since 1 + 31 + 9 + 97 + 528 = 666.

It is a super-2 number, since 2×1319975282 = 34846694796221568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131997521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69576 + ... + 71447.

It is an arithmetic number, because the mean of its divisors is an integer number (8020740).

Almost surely, 2131997528 is an apocalyptic number.

131997528 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

131997528 is an abundant number, since it is smaller than the sum of its proper divisors (252997992).

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

131997528 is a wasteful number, since it uses less digits than its factorization.

131997528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141048 (or 141041 counting only the distinct ones).

The product of its digits is 136080, while the sum is 45.

The square root of 131997528 is about 11489.0177125810. The cubic root of 131997528 is about 509.1611585263.

The spelling of 131997528 in words is "one hundred thirty-one million, nine hundred ninety-seven thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 141023 282046 423069 564092 846138 1128184 1269207 1692276 1833299 2538414 3384552 3666598 5076828 5499897 7333196 10153656 10999794 14666392 16499691 21999588 32999382 43999176 65998764 131997528