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132396385 = 5112534129
BaseRepresentation
bin1111110010000…
…11010101100001
3100020010102200211
413321003111201
5232343141020
621045414121
73165231202
oct771032541
9306112624
10132396385
1168809400
123840a341
1321577474
14138255a9
15b95385a
hex7e43561

132396385 has 24 divisors (see below), whose sum is σ = 177969960. Its totient is φ = 94448640.

The previous prime is 132396379. The next prime is 132396409. The reversal of 132396385 is 583693231.

It can be written as a sum of positive squares in 4 ways, for example, as 26388769 + 106007616 = 5137^2 + 10296^2 .

It is not a de Polignac number, because 132396385 - 215 = 132363617 is a prime.

It is a super-2 number, since 2×1323963852 = 35057605522136450, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30001 + ... + 34129.

It is an arithmetic number, because the mean of its divisors is an integer number (7415415).

Almost surely, 2132396385 is an apocalyptic number.

It is an amenable number.

132396385 is a deficient number, since it is larger than the sum of its proper divisors (45573575).

132396385 is a wasteful number, since it uses less digits than its factorization.

132396385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4209 (or 4198 counting only the distinct ones).

The product of its digits is 116640, while the sum is 40.

The square root of 132396385 is about 11506.3628049875. The cubic root of 132396385 is about 509.6734870183.

The spelling of 132396385 in words is "one hundred thirty-two million, three hundred ninety-six thousand, three hundred eighty-five".

Divisors: 1 5 11 53 55 121 265 583 605 2915 4129 6413 20645 32065 45419 218837 227095 499609 1094185 2407207 2498045 12036035 26479277 132396385