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132739488 = 2532765843
BaseRepresentation
bin1111110100101…
…11000110100000
3100020202212100100
413322113012200
5232440130423
621101022400
73201160410
oct772270640
9306685310
10132739488
1168a23162
1238554a00
132166769b
14138b4640
15b9c0343
hex7e971a0

132739488 has 72 divisors (see below), whose sum is σ = 431409888. Its totient is φ = 37924992.

The previous prime is 132739487. The next prime is 132739501. The reversal of 132739488 is 884937231.

132739488 is a `hidden beast` number, since 132 + 7 + 39 + 488 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-5 number, since 5×1327394885 (a number of 42 digits) contains 55555 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (132739483) 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, 30906 + ... + 34937.

It is an arithmetic number, because the mean of its divisors is an integer number (5991804).

Almost surely, 2132739488 is an apocalyptic number.

132739488 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

132739488 is an abundant number, since it is smaller than the sum of its proper divisors (298670400).

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

132739488 is a wasteful number, since it uses less digits than its factorization.

132739488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65866 (or 65855 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 132739488 is about 11521.2624308276. The cubic root of 132739488 is about 510.1133773309.

The spelling of 132739488 in words is "one hundred thirty-two million, seven hundred thirty-nine thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 65843 131686 197529 263372 395058 460901 526744 592587 790116 921802 1053488 1185174 1382703 1580232 1843604 2106976 2370348 2765406 3160464 3687208 4148109 4740696 5530812 6320928 7374416 8296218 9481392 11061624 14748832 16592436 18962784 22123248 33184872 44246496 66369744 132739488