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132389568 = 26321912097
BaseRepresentation
bin1111110010000…
…01101011000000
3100020010002100100
413321001223000
5232342431233
621045322400
73165202263
oct771015300
9306102310
10132389568
1168804273
1238406400
132157432c
1413822cda
15b951813
hex7e41ac0

132389568 has 84 divisors (see below), whose sum is σ = 399475960. Its totient is φ = 41803776.

The previous prime is 132389567. The next prime is 132389597. The reversal of 132389568 is 865983231.

It is a happy number.

132389568 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 89 + 568 = 666.

It is not an unprimeable number, because it can be changed into a prime (132389563) 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, 4896 + ... + 16992.

Almost surely, 2132389568 is an apocalyptic number.

132389568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132389568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199737980).

132389568 is an abundant number, since it is smaller than the sum of its proper divisors (267086392).

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

132389568 is a wasteful number, since it uses less digits than its factorization.

132389568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12134 (or 12121 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 132389568 is about 11506.0665737688. The cubic root of 132389568 is about 509.6647392875.

The spelling of 132389568 in words is "one hundred thirty-two million, three hundred eighty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 144 152 171 192 228 288 304 342 456 576 608 684 912 1216 1368 1824 2736 3648 5472 10944 12097 24194 36291 48388 72582 96776 108873 145164 193552 217746 229843 290328 387104 435492 459686 580656 689529 774208 870984 919372 1161312 1379058 1741968 1838744 2068587 2322624 2758116 3483936 3677488 4137174 5516232 6967872 7354976 8274348 11032464 14709952 16548696 22064928 33097392 44129856 66194784 132389568