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20832968 = 2313219811
BaseRepresentation
bin100111101111…
…0001011001000
31110012102110102
41033132023020
520313123333
62022304532
7342035342
oct117361310
943172412
1020832968
111083a132
126b88148
134415600
142aa4292
151c67ae8
hex13de2c8

20832968 has 48 divisors (see below), whose sum is σ = 44578800. Its totient is φ = 9097920.

The previous prime is 20832937. The next prime is 20832971. The reversal of 20832968 is 86923802.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25283 + ... + 26093.

It is an arithmetic number, because the mean of its divisors is an integer number (928725).

Almost surely, 220832968 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 20832968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22289400).

20832968 is an abundant number, since it is smaller than the sum of its proper divisors (23745832).

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

20832968 is a wasteful number, since it uses less digits than its factorization.

20832968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 20832968 is about 4564.3146254394. The cubic root of 20832968 is about 275.1589956597.

The spelling of 20832968 in words is "twenty million, eight hundred thirty-two thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 13 19 26 38 52 76 104 152 169 247 338 494 676 811 988 1352 1622 1976 3211 3244 6422 6488 10543 12844 15409 21086 25688 30818 42172 61636 84344 123272 137059 200317 274118 400634 548236 801268 1096472 1602536 2604121 5208242 10416484 20832968