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132556564 = 22722923321
BaseRepresentation
bin1111110011010…
…10011100010100
3100020102120102101
413321222130110
5232413302224
621053051444
73166466200
oct771523424
9306376371
10132556564
1168908788
1238486b84
132160234a
1413867b00
15b986044
hex7e6a714

132556564 has 36 divisors (see below), whose sum is σ = 279164340. Its totient is φ = 54848640.

The previous prime is 132556553. The next prime is 132556577. The reversal of 132556564 is 465655231.

It can be written as a sum of positive squares in 2 ways, for example, as 65480464 + 67076100 = 8092^2 + 8190^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5977 + ... + 17344.

It is an arithmetic number, because the mean of its divisors is an integer number (7754565).

Almost surely, 2132556564 is an apocalyptic number.

132556564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

132556564 is an abundant number, since it is smaller than the sum of its proper divisors (146607776).

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

132556564 is a wasteful number, since it uses less digits than its factorization.

132556564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23368 (or 23359 counting only the distinct ones).

The product of its digits is 108000, while the sum is 37.

The square root of 132556564 is about 11513.3211542109. The cubic root of 132556564 is about 509.8789460221.

The spelling of 132556564 in words is "one hundred thirty-two million, five hundred fifty-six thousand, five hundred sixty-four".

Divisors: 1 2 4 7 14 28 29 49 58 98 116 196 203 406 812 1421 2842 5684 23321 46642 93284 163247 326494 652988 676309 1142729 1352618 2285458 2705236 4570916 4734163 9468326 18936652 33139141 66278282 132556564