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880432 = 24721123
BaseRepresentation
bin11010110111100110000
31122201201121
43112330300
5211133212
630512024
710324600
oct3267460
91581647
10880432
11551533
12365614
1324a987
1418cc00
15125d07
hexd6f30

880432 has 30 divisors (see below), whose sum is σ = 1986108. Its totient is φ = 376992.

The previous prime is 880427. The next prime is 880483. The reversal of 880432 is 234088.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 880397 and 880406.

It is an unprimeable number.

880432 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 in 5 ways as a sum of consecutive naturals, for example, 223 + ... + 1345.

2880432 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 880432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993054).

880432 is an abundant number, since it is smaller than the sum of its proper divisors (1105676).

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

880432 is a wasteful number, since it uses less digits than its factorization.

880432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 880432 is about 938.3133804865. The cubic root of 880432 is about 95.8440755864.

It can be divided in two parts, 8804 and 32, that added together give a square (8836 = 942).

The spelling of 880432 in words is "eight hundred eighty thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 1123 2246 4492 7861 8984 15722 17968 31444 55027 62888 110054 125776 220108 440216 880432