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132313440 = 2535753743
BaseRepresentation
bin1111110001011…
…11000101100000
3100012222012220210
413320233011200
5232333012230
621043534120
73164434320
oct770570540
9305865823
10132313440
1168762056
123838a340
132154879c
1413803280
15b938eb0
hex7e2f160

132313440 has 192 divisors, whose sum is σ = 485968896. Its totient is φ = 29632512.

The previous prime is 132313439. The next prime is 132313463. The reversal of 132313440 is 44313231.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177709 + ... + 178451.

It is an arithmetic number, because the mean of its divisors is an integer number (2531088).

Almost surely, 2132313440 is an apocalyptic number.

132313440 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 132313440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242984448).

132313440 is an abundant number, since it is smaller than the sum of its proper divisors (353655456).

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

132313440 is a wasteful number, since it uses less digits than its factorization.

132313440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 132313440 is about 11502.7579301661. The cubic root of 132313440 is about 509.5670296839.

Adding to 132313440 its reverse (44313231), we get a palindrome (176626671).

The spelling of 132313440 in words is "one hundred thirty-two million, three hundred thirteen thousand, four hundred forty".