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132256917 = 32131935857
BaseRepresentation
bin1111110001000…
…01010010010101
3100012212100101100
413320201102111
5232324210132
621042420313
73164110452
oct770412225
9305770340
10132256917
1168723641
1238361699
1321528b40
14137ca829
15b92737c
hex7e21495

132256917 has 24 divisors (see below), whose sum is σ = 206834264. Its totient is φ = 80953344.

The previous prime is 132256909. The next prime is 132256921. The reversal of 132256917 is 719652231.

It can be written as a sum of positive squares in 4 ways, for example, as 14447601 + 117809316 = 3801^2 + 10854^2 .

It is not a de Polignac number, because 132256917 - 23 = 132256909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132256987) 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 23 ways as a sum of consecutive naturals, for example, 19653 + ... + 25509.

Almost surely, 2132256917 is an apocalyptic number.

It is an amenable number.

132256917 is a deficient number, since it is larger than the sum of its proper divisors (74577347).

132256917 is a wasteful number, since it uses less digits than its factorization.

132256917 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6069 (or 6066 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 132256917 is about 11500.3007351982. The cubic root of 132256917 is about 509.4944586749.

It can be divided in two parts, 132 and 256917, that added together give a square (257049 = 5072).

The spelling of 132256917 in words is "one hundred thirty-two million, two hundred fifty-six thousand, nine hundred seventeen".

Divisors: 1 3 9 13 39 117 193 579 1737 2509 5857 7527 17571 22581 52713 76141 228423 685269 1130401 3391203 10173609 14695213 44085639 132256917