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20906964 = 22331314891
BaseRepresentation
bin100111111000…
…0001111010100
31110100011222000
41033300033110
520323010324
62024035300
7342464151
oct117601724
943304860
1020906964
111088a791
127002b30
1344401b0
142ac3228
151c7e9c9
hex13f03d4

20906964 has 48 divisors (see below), whose sum is σ = 58376640. Its totient is φ = 6432480.

The previous prime is 20906939. The next prime is 20906969. The reversal of 20906964 is 46960902.

It is a super-2 number, since 2×209069642 = 874202287394592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20906969) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6042 + ... + 8849.

It is an arithmetic number, because the mean of its divisors is an integer number (1216180).

Almost surely, 220906964 is an apocalyptic number.

It is an amenable number.

20906964 is an abundant number, since it is smaller than the sum of its proper divisors (37469676).

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

20906964 is a wasteful number, since it uses less digits than its factorization.

20906964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14917 (or 14909 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 20906964 is about 4572.4133671399. The cubic root of 20906964 is about 275.4843870674.

The spelling of 20906964 in words is "twenty million, nine hundred six thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1404 14891 29782 44673 59564 89346 134019 178692 193583 268038 387166 402057 536076 580749 774332 804114 1161498 1608228 1742247 2322996 3484494 5226741 6968988 10453482 20906964