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131530932 = 22331393683
BaseRepresentation
bin1111101011100…
…00000010110100
3100011111110112000
413311300002310
5232132442212
621015055300
73154665051
oct765600264
9304443460
10131530932
1168278155
1238071530
1321333570
141367c028
15b8321dc
hex7d700b4

131530932 has 48 divisors (see below), whose sum is σ = 367241280. Its totient is φ = 40470624.

The previous prime is 131530879. The next prime is 131530961. The reversal of 131530932 is 239035131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 131530896 and 131530905.

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, 45438 + ... + 48245.

It is an arithmetic number, because the mean of its divisors is an integer number (7650860).

Almost surely, 2131530932 is an apocalyptic number.

131530932 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131530932 is an abundant number, since it is smaller than the sum of its proper divisors (235710348).

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

131530932 is a wasteful number, since it uses less digits than its factorization.

131530932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93709 (or 93701 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 131530932 is about 11468.6935611690. The cubic root of 131530932 is about 508.5605082842.

The spelling of 131530932 in words is "one hundred thirty-one million, five hundred thirty thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1404 93683 187366 281049 374732 562098 843147 1124196 1217879 1686294 2435758 2529441 3372588 3653637 4871516 5058882 7307274 10117764 10960911 14614548 21921822 32882733 43843644 65765466 131530932