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132880384 = 2117132331
BaseRepresentation
bin1111110101110…
…01100000000000
3100021001000121201
413322321200000
5233004133014
621104030544
73202315240
oct772714000
9307030551
10132880384
1169009aaa
1238602454
13216b6860
141390db20
15b9ebe74
hex7eb9800

132880384 has 192 divisors, whose sum is σ = 352235520. Its totient is φ = 48660480.

The previous prime is 132880373. The next prime is 132880393. The reversal of 132880384 is 483088231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4286449 + ... + 4286479.

It is an arithmetic number, because the mean of its divisors is an integer number (1834560).

Almost surely, 2132880384 is an apocalyptic number.

132880384 is a gapful number since it is divisible by the number (14) 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 132880384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176117760).

132880384 is an abundant number, since it is smaller than the sum of its proper divisors (219355136).

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

132880384 is a wasteful number, since it uses less digits than its factorization.

132880384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 132880384 is about 11527.3754168067. The cubic root of 132880384 is about 510.2937997023.

The spelling of 132880384 in words is "one hundred thirty-two million, eight hundred eighty thousand, three hundred eighty-four".