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132205872 = 24317162017
BaseRepresentation
bin1111110000101…
…00110100110000
3100012202202100210
413320110310300
5232321041442
621041344120
73163505601
oct770246460
9305682323
10132205872
1168699257
1238338040
132150b836
14137b5da8
15b91719c
hex7e14d30

132205872 has 40 divisors (see below), whose sum is σ = 361624176. Its totient is φ = 41476096.

The previous prime is 132205841. The next prime is 132205907. The reversal of 132205872 is 278502231.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 80193 + ... + 81824.

Almost surely, 2132205872 is an apocalyptic number.

132205872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132205872 is an abundant number, since it is smaller than the sum of its proper divisors (229418304).

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

132205872 is a wasteful number, since it uses less digits than its factorization.

132205872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162045 (or 162039 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 132205872 is about 11498.0812312316. The cubic root of 132205872 is about 509.4289032095.

The spelling of 132205872 in words is "one hundred thirty-two million, two hundred five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 162017 324034 486051 648068 972102 1296136 1944204 2592272 2754289 3888408 5508578 7776816 8262867 11017156 16525734 22034312 33051468 44068624 66102936 132205872