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132414957 = 3229618317
BaseRepresentation
bin1111110010001…
…11110111101101
3100020011101011200
413321013313231
5232344234312
621050040113
73165336303
oct771076755
9306141150
10132414957
1168821354
1238419039
1321582a5c
141382c273
15b9590dc
hex7e47ded

132414957 has 24 divisors (see below), whose sum is σ = 201129240. Its totient is φ = 83825280.

The previous prime is 132414943. The next prime is 132415033. The reversal of 132414957 is 759414231.

It can be written as a sum of positive squares in 4 ways, for example, as 22982436 + 109432521 = 4794^2 + 10461^2 .

It is not a de Polignac number, because 132414957 - 214 = 132398573 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132414907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11763 + ... + 20079.

It is an arithmetic number, because the mean of its divisors is an integer number (8380385).

Almost surely, 2132414957 is an apocalyptic number.

It is an amenable number.

132414957 is a deficient number, since it is larger than the sum of its proper divisors (68714283).

132414957 is a wasteful number, since it uses less digits than its factorization.

132414957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8413 (or 8410 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 132414957 is about 11507.1698084281. The cubic root of 132414957 is about 509.6973175115.

The spelling of 132414957 in words is "one hundred thirty-two million, four hundred fourteen thousand, nine hundred fifty-seven".

Divisors: 1 3 9 29 61 87 183 261 549 1769 5307 8317 15921 24951 74853 241193 507337 723579 1522011 2170737 4566033 14712773 44138319 132414957