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132770880 = 26335112127
BaseRepresentation
bin1111110100111…
…10110001000000
3100020211110102000
413322132301000
5232442132010
621101424000
73201351054
oct772366100
9306743360
10132770880
1168a44800
123856b000
1321678a68
14138c1c64
15b9c97c0
hex7e9ec40

132770880 has 336 divisors, whose sum is σ = 518891520. Its totient is φ = 31933440.

The previous prime is 132770857. The next prime is 132770929. The reversal of 132770880 is 88077231.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1045377 + ... + 1045503.

It is an arithmetic number, because the mean of its divisors is an integer number (1544320).

Almost surely, 2132770880 is an apocalyptic number.

132770880 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 132770880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259445760).

132770880 is an abundant number, since it is smaller than the sum of its proper divisors (386120640).

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

132770880 is a wasteful number, since it uses less digits than its factorization.

132770880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 132770880 is about 11522.6247009959. The cubic root of 132770880 is about 510.1535869605.

The spelling of 132770880 in words is "one hundred thirty-two million, seven hundred seventy thousand, eight hundred eighty".