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132132528 = 24321183417
BaseRepresentation
bin1111110000000…
…10111010110000
3100012122000202100
413320002322300
5232311220103
621040020400
73163052013
oct770027260
9305560670
10132132528
1168649140
1238301700
13214b4338
141379737a
15b9005a3
hex7e02eb0

132132528 has 60 divisors (see below), whose sum is σ = 403409448. Its totient is φ = 40039680.

The previous prime is 132132523. The next prime is 132132529. The reversal of 132132528 is 825231231.

132132528 is a `hidden beast` number, since 1 + 3 + 2 + 132 + 528 = 666.

It is not an unprimeable number, because it can be changed into a prime (132132523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40125 + ... + 43292.

Almost surely, 2132132528 is an apocalyptic number.

132132528 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

132132528 is an abundant number, since it is smaller than the sum of its proper divisors (271276920).

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

132132528 is a wasteful number, since it uses less digits than its factorization.

132132528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83442 (or 83433 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 132132528 is about 11494.8913870467. The cubic root of 132132528 is about 509.3346803019.

Adding to 132132528 its reverse (825231231), we get a palindrome (957363759).

The spelling of 132132528 in words is "one hundred thirty-two million, one hundred thirty-two thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 83417 166834 250251 333668 500502 667336 750753 917587 1001004 1334672 1501506 1835174 2002008 2752761 3003012 3670348 4004016 5505522 6006024 7340696 8258283 11011044 12012048 14681392 16516566 22022088 33033132 44044176 66066264 132132528