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132483960 = 233257192767
BaseRepresentation
bin1111110010110…
…00101101111000
3100020021212211100
413321120231320
5232403441320
621051331400
73166044420
oct771305570
9306255740
10132483960
1168869184
1238450b60
13215a829b
1413849480
15b96e790
hex7e58b78

132483960 has 192 divisors, whose sum is σ = 518169600. Its totient is φ = 28677888.

The previous prime is 132483943. The next prime is 132483961. The reversal of 132483960 is 69384231.

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 (132483961) 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, 46497 + ... + 49263.

It is an arithmetic number, because the mean of its divisors is an integer number (2698800).

Almost surely, 2132483960 is an apocalyptic number.

132483960 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 132483960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259084800).

132483960 is an abundant number, since it is smaller than the sum of its proper divisors (385685640).

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

132483960 is a wasteful number, since it uses less digits than its factorization.

132483960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2810 (or 2803 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 132483960 is about 11510.1676790566. The cubic root of 132483960 is about 509.7858385700.

The spelling of 132483960 in words is "one hundred thirty-two million, four hundred eighty-three thousand, nine hundred sixty".