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132902952 = 233713231151
BaseRepresentation
bin1111110101111…
…11000000101000
3100021002011120120
413322333000220
5233010343302
621104323240
73202441110
oct772770050
9307064516
10132902952
1169024a56
1238613520
13216c3c00
1413918040
15ba039bc
hex7ebf028

132902952 has 192 divisors, whose sum is σ = 427253760. Its totient is φ = 33696000.

The previous prime is 132902951. The next prime is 132902963. The reversal of 132902952 is 259209231.

It is not an unprimeable number, because it can be changed into a prime (132902951) 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, 880077 + ... + 880227.

It is an arithmetic number, because the mean of its divisors is an integer number (2225280).

Almost surely, 2132902952 is an apocalyptic number.

132902952 is a gapful number since it is divisible by the number (12) 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 132902952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213626880).

132902952 is an abundant number, since it is smaller than the sum of its proper divisors (294350808).

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

132902952 is a wasteful number, since it uses less digits than its factorization.

132902952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 132902952 is about 11528.3542624262. The cubic root of 132902952 is about 510.3226869823.

The spelling of 132902952 in words is "one hundred thirty-two million, nine hundred two thousand, nine hundred fifty-two".