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20920832 = 29291409
BaseRepresentation
bin100111111001…
…1101000000000
31110100212222122
41033303220000
520323431312
62024223412
7342552452
oct117635000
943325878
1020920832
111089a149
12700ab68
1344465ba
142ac82d2
151c83b72
hex13f3a00

20920832 has 40 divisors (see below), whose sum is σ = 43272900. Its totient is φ = 10092544.

The previous prime is 20920819. The next prime is 20920841. The reversal of 20920832 is 23802902.

It can be written as a sum of positive squares in 2 ways, for example, as 18800896 + 2119936 = 4336^2 + 1456^2 .

It is an unprimeable 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 3 ways as a sum of consecutive naturals, for example, 14144 + ... + 15552.

Almost surely, 220920832 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 20920832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21636450).

20920832 is an abundant number, since it is smaller than the sum of its proper divisors (22352068).

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

20920832 is an equidigital number, since it uses as much as digits as its factorization.

20920832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1456 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 20920832 is about 4573.9296015571. The cubic root of 20920832 is about 275.5452850066.

The spelling of 20920832 in words is "twenty million, nine hundred twenty thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 512 928 1409 1856 2818 3712 5636 7424 11272 14848 22544 40861 45088 81722 90176 163444 180352 326888 360704 653776 721408 1307552 2615104 5230208 10460416 20920832