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132257880 = 23335151811
BaseRepresentation
bin1111110001000…
…01100001011000
3100012212101201000
413320201201120
5232324223010
621042425000
73164113326
oct770414130
9305771630
10132257880
1168724337
1238362160
1321529401
14137cad16
15b9277c0
hex7e21858

132257880 has 128 divisors (see below), whose sum is σ = 444326400. Its totient is φ = 34992000.

The previous prime is 132257861. The next prime is 132257887. The reversal of 132257880 is 88752231.

132257880 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 578 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132257887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162675 + ... + 163485.

It is an arithmetic number, because the mean of its divisors is an integer number (3471300).

Almost surely, 2132257880 is an apocalyptic number.

132257880 is a gapful number since it is divisible by the number (10) 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 132257880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222163200).

132257880 is an abundant number, since it is smaller than the sum of its proper divisors (312068520).

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

132257880 is a wasteful number, since it uses less digits than its factorization.

132257880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 132257880 is about 11500.3426035923. The cubic root of 132257880 is about 509.4956952629.

The spelling of 132257880 in words is "one hundred thirty-two million, two hundred fifty-seven thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 151 180 216 270 302 360 453 540 604 755 811 906 1080 1208 1359 1510 1622 1812 2265 2433 2718 3020 3244 3624 4055 4077 4530 4866 5436 6040 6488 6795 7299 8110 8154 9060 9732 10872 12165 13590 14598 16220 16308 18120 19464 20385 21897 24330 27180 29196 32440 32616 36495 40770 43794 48660 54360 58392 72990 81540 87588 97320 109485 122461 145980 163080 175176 218970 244922 291960 367383 437940 489844 612305 734766 875880 979688 1102149 1224610 1469532 1836915 2204298 2449220 2939064 3306447 3673830 4408596 4898440 5510745 6612894 7347660 8817192 11021490 13225788 14695320 16532235 22042980 26451576 33064470 44085960 66128940 132257880