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132265872 = 243534019
BaseRepresentation
bin1111110001000…
…11011110010000
3100012212210200000
413320203132100
5232330001442
621042530000
73164145534
oct770433620
9305783600
10132265872
116872a342
1238366900
132152cc3b
14137cdbc4
15b929d4c
hex7e23790

132265872 has 60 divisors (see below), whose sum is σ = 383881680. Its totient is φ = 44087328.

The previous prime is 132265823. The next prime is 132265879. The reversal of 132265872 is 278562231.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (132265879) 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, 13122 + ... + 20897.

It is an arithmetic number, because the mean of its divisors is an integer number (6398028).

Almost surely, 2132265872 is an apocalyptic number.

132265872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132265872 is an abundant number, since it is smaller than the sum of its proper divisors (251615808).

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

132265872 is an equidigital number, since it uses as much as digits as its factorization.

132265872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34042 (or 34024 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 132265872 is about 11500.6900662525. The cubic root of 132265872 is about 509.5059575565.

The spelling of 132265872 in words is "one hundred thirty-two million, two hundred sixty-five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 1296 1944 3888 34019 68038 102057 136076 204114 272152 306171 408228 544304 612342 816456 918513 1224684 1632912 1837026 2449368 2755539 3674052 4898736 5511078 7348104 8266617 11022156 14696208 16533234 22044312 33066468 44088624 66132936 132265872