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132415680 = 2635137933
BaseRepresentation
bin1111110010010…
…00000011000000
3100020011102011110
413321020003000
5232344300210
621050043320
73165341355
oct771100300
9306142143
10132415680
1168821951
1238419540
1321583197
141382c62c
15b959420
hex7e480c0

132415680 has 56 divisors (see below), whose sum is σ = 420422832. Its totient is φ = 35310592.

The previous prime is 132415643. The next prime is 132415681. The reversal of 132415680 is 86514231.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (132415681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68007 + ... + 69926.

Almost surely, 2132415680 is an apocalyptic number.

132415680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132415680 is an abundant number, since it is smaller than the sum of its proper divisors (288007152).

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

132415680 is a wasteful number, since it uses less digits than its factorization.

132415680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137953 (or 137943 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 132415680 is about 11507.2012235817. The cubic root of 132415680 is about 509.6982451773.

The spelling of 132415680 in words is "one hundred thirty-two million, four hundred fifteen thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 137933 275866 413799 551732 689665 827598 1103464 1379330 1655196 2068995 2206928 2758660 3310392 4137990 4413856 5517320 6620784 8275980 8827712 11034640 13241568 16551960 22069280 26483136 33103920 44138560 66207840 132415680