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132525536 = 25111328961
BaseRepresentation
bin1111110011000…
…10110111100000
3100020100222212012
413321202313200
5232411304121
621052252052
73166306553
oct771426740
9306328765
10132525536
1168897440
1238471028
13215c11a0
141385a69a
15b97bc5b
hex7e62de0

132525536 has 48 divisors (see below), whose sum is σ = 306533808. Its totient is φ = 55603200.

The previous prime is 132525521. The next prime is 132525553. The reversal of 132525536 is 635525231.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9905 + ... + 19056.

It is an arithmetic number, because the mean of its divisors is an integer number (6386121).

Almost surely, 2132525536 is an apocalyptic number.

132525536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

132525536 is an abundant number, since it is smaller than the sum of its proper divisors (174008272).

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

132525536 is a wasteful number, since it uses less digits than its factorization.

132525536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28995 (or 28987 counting only the distinct ones).

The product of its digits is 27000, while the sum is 32.

The square root of 132525536 is about 11511.9735927425. The cubic root of 132525536 is about 509.8391598408.

The spelling of 132525536 in words is "one hundred thirty-two million, five hundred twenty-five thousand, five hundred thirty-six".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 143 176 208 286 352 416 572 1144 2288 4576 28961 57922 115844 231688 318571 376493 463376 637142 752986 926752 1274284 1505972 2548568 3011944 4141423 5097136 6023888 8282846 10194272 12047776 16565692 33131384 66262768 132525536