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132338880 = 2633517253
BaseRepresentation
bin1111110001101…
…01010011000000
3100020000111211000
413320311103000
5232334321010
621044252000
73164601432
oct770652300
9306014730
10132338880
116877a183
12383a1000
132155723b
141380c652
15b9417c0
hex7e354c0

132338880 has 336 divisors, whose sum is σ = 505297440. Its totient is φ = 32587776.

The previous prime is 132338873. The next prime is 132338891. The reversal of 132338880 is 88833231.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2496934 + ... + 2496986.

Almost surely, 2132338880 is an apocalyptic number.

132338880 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 132338880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252648720).

132338880 is an abundant number, since it is smaller than the sum of its proper divisors (372958560).

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

132338880 is a wasteful number, since it uses less digits than its factorization.

132338880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 132338880 is about 11503.8636987753. The cubic root of 132338880 is about 509.5996858638.

The spelling of 132338880 in words is "one hundred thirty-two million, three hundred thirty-eight thousand, eight hundred eighty".