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132063424 = 2623731229
BaseRepresentation
bin1111101111100…
…10000011000000
3100012111111221221
413313302003000
5232302012144
621034324424
73162343363
oct767620300
9305444857
10132063424
1168601229
1238289714
132148ba4c
141377a0da
15b8d9d84
hex7df20c0

132063424 has 56 divisors (see below), whose sum is σ = 277428960. Its totient is φ = 62244864.

The previous prime is 132063409. The next prime is 132063427. The reversal of 132063424 is 424360231.

It is not an unprimeable number, because it can be changed into a prime (132063427) 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 7 ways as a sum of consecutive naturals, for example, 106842 + ... + 108070.

Almost surely, 2132063424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132063424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138714480).

132063424 is an abundant number, since it is smaller than the sum of its proper divisors (145365536).

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

132063424 is a wasteful number, since it uses less digits than its factorization.

132063424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337 (or 1327 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 132063424 is about 11491.8851369129. The cubic root of 132063424 is about 509.2458724916.

The spelling of 132063424 in words is "one hundred thirty-two million, sixty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 23 32 46 64 73 92 146 184 292 368 584 736 1168 1229 1472 1679 2336 2458 3358 4672 4916 6716 9832 13432 19664 26864 28267 39328 53728 56534 78656 89717 107456 113068 179434 226136 358868 452272 717736 904544 1435472 1809088 2063491 2870944 4126982 5741888 8253964 16507928 33015856 66031712 132063424