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20468868 = 223734973
BaseRepresentation
bin100111000010…
…1010010000100
31102111221000020
41032011102010
520220000433
62010415140
7335661000
oct116052204
942457006
1020468868
1110610622
126a314b0
134318974
142a0b700
151be4cb3
hex1385484

20468868 has 48 divisors (see below), whose sum is σ = 55708800. Its totient is φ = 5847072.

The previous prime is 20468863. The next prime is 20468869. The reversal of 20468868 is 86886402.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (20468863) 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, 1630 + ... + 6602.

It is an arithmetic number, because the mean of its divisors is an integer number (1160600).

Almost surely, 220468868 is an apocalyptic number.

20468868 is a gapful number since it is divisible by the number (28) 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 20468868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27854400).

20468868 is an abundant number, since it is smaller than the sum of its proper divisors (35239932).

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

20468868 is a wasteful number, since it uses less digits than its factorization.

20468868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5001 (or 4985 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 20468868 is about 4524.2533085582. The cubic root of 20468868 is about 273.5465709937.

The spelling of 20468868 in words is "twenty million, four hundred sixty-eight thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 343 588 686 1029 1372 2058 4116 4973 9946 14919 19892 29838 34811 59676 69622 104433 139244 208866 243677 417732 487354 731031 974708 1462062 1705739 2924124 3411478 5117217 6822956 10234434 20468868