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20168904 = 2337271443
BaseRepresentation
bin100110011110…
…0000011001000
31101221200112110
41030330003020
520130401104
62000142320
7333301320
oct114740310
941850473
1020168904
1110426218
1269079a0
134242282
142970280
151b85e89
hex133c0c8

20168904 has 64 divisors (see below), whose sum is σ = 57968640. Its totient is φ = 5728320.

The previous prime is 20168903. The next prime is 20168909. The reversal of 20168904 is 40986102.

It is a super-2 number, since 2×201689042 = 813569377122432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20168903) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45307 + ... + 45749.

It is an arithmetic number, because the mean of its divisors is an integer number (905760).

Almost surely, 220168904 is an apocalyptic number.

20168904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20168904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28984320).

20168904 is an abundant number, since it is smaller than the sum of its proper divisors (37799736).

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

20168904 is a wasteful number, since it uses less digits than its factorization.

20168904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 20168904 is about 4490.9802938779. The cubic root of 20168904 is about 272.2037472831.

The spelling of 20168904 in words is "twenty million, one hundred sixty-eight thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 271 443 542 813 886 1084 1329 1626 1772 1897 2168 2658 3101 3252 3544 3794 5316 5691 6202 6504 7588 9303 10632 11382 12404 15176 18606 22764 24808 37212 45528 74424 120053 240106 360159 480212 720318 840371 960424 1440636 1680742 2521113 2881272 3361484 5042226 6722968 10084452 20168904