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132388864 = 211127509
BaseRepresentation
bin1111110010000…
…01100000000000
3100020010001101021
413321001200000
5232342420424
621045315224
73165200236
oct771014000
9306101337
10132388864
1168803793
1238405b14
1321573c0a
1413822956
15b9514e4
hex7e41800

132388864 has 48 divisors (see below), whose sum is σ = 267321600. Its totient is φ = 65544192.

The previous prime is 132388847. The next prime is 132388871. The reversal of 132388864 is 468883231.

It is a super-2 number, since 2×1323888642 = 35053622622420992, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 132388864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 259842 + ... + 260350.

It is an arithmetic number, because the mean of its divisors is an integer number (5569200).

Almost surely, 2132388864 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 132388864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133660800).

132388864 is an abundant number, since it is smaller than the sum of its proper divisors (134932736).

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

132388864 is an equidigital number, since it uses as much as digits as its factorization.

132388864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 638 counting only the distinct ones).

The product of its digits is 221184, while the sum is 43.

The square root of 132388864 is about 11506.0359811709. The cubic root of 132388864 is about 509.6638358815.

The spelling of 132388864 in words is "one hundred thirty-two million, three hundred eighty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 127 128 254 256 508 509 512 1016 1018 1024 2032 2036 2048 4064 4072 8128 8144 16256 16288 32512 32576 64643 65024 65152 129286 130048 130304 258572 260096 260608 517144 521216 1034288 1042432 2068576 4137152 8274304 16548608 33097216 66194432 132388864