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132890624 = 2148111
BaseRepresentation
bin1111110101111…
…00000000000000
3100021001112122222
413322330000000
5233004444444
621104150212
73202360136
oct772740000
9307045588
10132890624
1169016769
1238608368
13216bb409
1413913756
15b9eeeee
hex7ebc000

132890624 has 30 divisors (see below), whose sum is σ = 265805904. Its totient is φ = 66437120.

The previous prime is 132890621. The next prime is 132890647. The reversal of 132890624 is 426098231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132890621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12329 + ... + 20439.

Almost surely, 2132890624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132890624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132902952).

132890624 is an abundant number, since it is smaller than the sum of its proper divisors (132915280).

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

132890624 is an frugal number, since it uses more digits than its factorization.

132890624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8139 (or 8113 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 132890624 is about 11527.8195683312. The cubic root of 132890624 is about 510.3069074165.

The spelling of 132890624 in words is "one hundred thirty-two million, eight hundred ninety thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8111 8192 16222 16384 32444 64888 129776 259552 519104 1038208 2076416 4152832 8305664 16611328 33222656 66445312 132890624