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132461325 = 345265413
BaseRepresentation
bin1111110010100…
…11001100001101
3100020020201210000
413321103030031
5232402230300
621051034513
73165621423
oct771231415
9306221700
10132461325
1168853177
123843ba39
132159aba9
1413841113
15b967c00
hex7e5330d

132461325 has 30 divisors (see below), whose sum is σ = 245367914. Its totient is φ = 70644960.

The previous prime is 132461321. The next prime is 132461333. The reversal of 132461325 is 523164231.

132461325 is a `hidden beast` number, since 1 + 3 + 24 + 613 + 25 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2022084 + 130439241 = 1422^2 + 11421^2 .

It is not a de Polignac number, because 132461325 - 22 = 132461321 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132461321) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 30682 + ... + 34731.

Almost surely, 2132461325 is an apocalyptic number.

132461325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132461325 is a deficient number, since it is larger than the sum of its proper divisors (112906589).

132461325 is an equidigital number, since it uses as much as digits as its factorization.

132461325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65435 (or 65421 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 132461325 is about 11509.1843759669. The cubic root of 132461325 is about 509.7568044649.

The spelling of 132461325 in words is "one hundred thirty-two million, four hundred sixty-one thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 2025 65413 196239 327065 588717 981195 1635325 1766151 2943585 4905975 5298453 8830755 14717925 26492265 44153775 132461325