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131585272 = 23713180749
BaseRepresentation
bin1111101011111…
…01010011111000
3100011121020001121
413311331103320
5232141212042
621020155024
73155312350
oct765752370
9304536047
10131585272
1168304a65
1238098a74
1321352210
1413693b60
15b843367
hex7d7d4f8

131585272 has 32 divisors (see below), whose sum is σ = 303660000. Its totient is φ = 52055424.

The previous prime is 131585263. The next prime is 131585299. The reversal of 131585272 is 272585131.

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, 89647 + ... + 91102.

It is an arithmetic number, because the mean of its divisors is an integer number (9489375).

Almost surely, 2131585272 is an apocalyptic number.

It is an amenable number.

131585272 is an abundant number, since it is smaller than the sum of its proper divisors (172074728).

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

131585272 is a wasteful number, since it uses less digits than its factorization.

131585272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180775 (or 180771 counting only the distinct ones).

The product of its digits is 16800, while the sum is 34.

The square root of 131585272 is about 11471.0623745144. The cubic root of 131585272 is about 508.6305333163.

The spelling of 131585272 in words is "one hundred thirty-one million, five hundred eighty-five thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728 180749 361498 722996 1265243 1445992 2349737 2530486 4699474 5060972 9398948 10121944 16448159 18797896 32896318 65792636 131585272