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132314652 = 223217920533
BaseRepresentation
bin1111110001011…
…11011000011100
3100012222021120200
413320233120130
5232333032102
621043543500
73164441001
oct770573034
9305867520
10132314652
1168762a58
123838ab90
13215491c2
14138038a8
15b93951c
hex7e2f61c

132314652 has 36 divisors (see below), whose sum is σ = 336346920. Its totient is φ = 43856352.

The previous prime is 132314641. The next prime is 132314657. The reversal of 132314652 is 256413231.

132314652 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 1 + 4 + 652 = 666.

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

It is a super-2 number, since 2×1323146522 = 35014334267762208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132314657) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3823 + ... + 16710.

It is an arithmetic number, because the mean of its divisors is an integer number (9342970).

Almost surely, 2132314652 is an apocalyptic number.

132314652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132314652 is an abundant number, since it is smaller than the sum of its proper divisors (204032268).

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

132314652 is a wasteful number, since it uses less digits than its factorization.

132314652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20722 (or 20717 counting only the distinct ones).

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

The square root of 132314652 is about 11502.8106130632. The cubic root of 132314652 is about 509.5685855685.

Adding to 132314652 its reverse (256413231), we get a palindrome (388727883).

The spelling of 132314652 in words is "one hundred thirty-two million, three hundred fourteen thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 179 358 537 716 1074 1611 2148 3222 6444 20533 41066 61599 82132 123198 184797 246396 369594 739188 3675407 7350814 11026221 14701628 22052442 33078663 44104884 66157326 132314652