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131608920 = 23351096741
BaseRepresentation
bin1111101100000…
…11000101011000
3100011122102111110
413312003011120
5232142441140
621020500320
73155441322
oct766030530
9304572443
10131608920
1168320803
12380aa6a0
132135cc01
141369c612
15b84a380
hex7d83158

131608920 has 32 divisors (see below), whose sum is σ = 394827120. Its totient is φ = 35095680.

The previous prime is 131608909. The next prime is 131608927. The reversal of 131608920 is 29806131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131608927) 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, 548251 + ... + 548490.

Almost surely, 2131608920 is an apocalyptic number.

131608920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131608920 is an abundant number, since it is smaller than the sum of its proper divisors (263218200).

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

131608920 is a wasteful number, since it uses less digits than its factorization.

131608920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096755 (or 1096751 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 131608920 is about 11472.0930958566. The cubic root of 131608920 is about 508.6610012002.

The spelling of 131608920 in words is "one hundred thirty-one million, six hundred eight thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1096741 2193482 3290223 4386964 5483705 6580446 8773928 10967410 13160892 16451115 21934820 26321784 32902230 43869640 65804460 131608920