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132365052 = 223216692203
BaseRepresentation
bin1111110001110…
…11101011111100
3100020001211201100
413320323223330
5232341140202
621045013100
73165040641
oct770735374
9306054640
10132365052
1168797906
12383b4190
1321566121
1413817dc8
15b94941c
hex7e3bafc

132365052 has 36 divisors (see below), whose sum is σ = 334941880. Its totient is φ = 44075232.

The previous prime is 132365047. The next prime is 132365063. The reversal of 132365052 is 250563231.

132365052 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 650 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 58983 + ... + 61185.

Almost surely, 2132365052 is an apocalyptic number.

132365052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132365052 is an abundant number, since it is smaller than the sum of its proper divisors (202576828).

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

132365052 is a wasteful number, since it uses less digits than its factorization.

132365052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3882 (or 3877 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 132365052 is about 11505.0011734028. The cubic root of 132365052 is about 509.6332773119.

Subtracting from 132365052 its sum of digits (27), we obtain a square (132365025 = 115052).

The spelling of 132365052 in words is "one hundred thirty-two million, three hundred sixty-five thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 1669 2203 3338 4406 5007 6609 6676 8812 10014 13218 15021 19827 20028 26436 30042 39654 60084 79308 3676807 7353614 11030421 14707228 22060842 33091263 44121684 66182526 132365052