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80432 = 2411457
BaseRepresentation
bin10011101000110000
311002022222
4103220300
510033212
61420212
7453332
oct235060
9132288
1080432
1155480
123a668
132a7c1
1421452
1518c72
hex13a30

80432 has 20 divisors (see below), whose sum is σ = 170376. Its totient is φ = 36480.

The previous prime is 80429. The next prime is 80447. The reversal of 80432 is 23408.

80432 is a modest number, since divided by 432 gives 80 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 80432.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 53 + ... + 404.

280432 is an apocalyptic number.

It is an amenable number.

80432 is an abundant number, since it is smaller than the sum of its proper divisors (89944).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85188).

80432 is a wasteful number, since it uses less digits than its factorization.

80432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 80432 is about 283.6053596109. The cubic root of 80432 is about 43.1661142594.

It can be divided in two parts, 80 and 432, that added together give a 9-th power (512 = 29).

The spelling of 80432 in words is "eighty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 176 457 914 1828 3656 5027 7312 10054 20108 40216 80432