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132255520 = 2552383433
BaseRepresentation
bin1111110001000…
…00111100100000
3100012212021110121
413320200330200
5232324134040
621042410024
73164103415
oct770407440
9305767417
10132255520
1168722591
1238360914
1321528307
14137ca10c
15b926c4a
hex7e20f20

132255520 has 96 divisors (see below), whose sum is σ = 330728832. Its totient is φ = 49876992.

The previous prime is 132255493. The next prime is 132255533. The reversal of 132255520 is 25552231.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 305224 + ... + 305656.

It is an arithmetic number, because the mean of its divisors is an integer number (3445092).

Almost surely, 2132255520 is an apocalyptic number.

132255520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132255520 is the 6640-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132255520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165364416).

132255520 is an abundant number, since it is smaller than the sum of its proper divisors (198473312).

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

132255520 is a wasteful number, since it uses less digits than its factorization.

132255520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The square root of 132255520 is about 11500.2399974957. The cubic root of 132255520 is about 509.4926647768.

The spelling of 132255520 in words is "one hundred thirty-two million, two hundred fifty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 83 92 115 160 166 184 230 332 368 415 433 460 664 736 830 866 920 1328 1660 1732 1840 1909 2165 2656 3320 3464 3680 3818 4330 6640 6928 7636 8660 9545 9959 13280 13856 15272 17320 19090 19918 30544 34640 35939 38180 39836 49795 61088 69280 71878 76360 79672 99590 143756 152720 159344 179695 199180 287512 305440 318688 359390 398360 575024 718780 796720 826597 1150048 1437560 1593440 1653194 2875120 3306388 4132985 5750240 6612776 8265970 13225552 16531940 26451104 33063880 66127760 132255520