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132656440 = 23571729312
BaseRepresentation
bin1111110100000…
…10110100111000
3100020121122102111
413322002310320
5232430001230
621055142104
73200363320
oct772026470
9306548374
10132656440
1168976824
1238514934
1321638947
1413892280
15b9a592a
hex7e82d38

132656440 has 192 divisors, whose sum is σ = 386078400. Its totient is φ = 39997440.

The previous prime is 132656429. The next prime is 132656441. The reversal of 132656440 is 44656231.

132656440 = T87 + T88 + ... + T926.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132656441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4279225 + ... + 4279255.

It is an arithmetic number, because the mean of its divisors is an integer number (2010825).

Almost surely, 2132656440 is an apocalyptic number.

132656440 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 132656440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193039200).

132656440 is an abundant number, since it is smaller than the sum of its proper divisors (253421960).

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

132656440 is a wasteful number, since it uses less digits than its factorization.

132656440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 132656440 is about 11517.6577479972. The cubic root of 132656440 is about 510.0069715823.

The spelling of 132656440 in words is "one hundred thirty-two million, six hundred fifty-six thousand, four hundred forty".