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20188688 = 2413312101
BaseRepresentation
bin100110100000…
…0111000010000
31101222200200012
41031000320100
520132014223
62000414052
7333413102
oct115007020
941880605
1020188688
111043a073
126917328
13424b290
142977572
151b8bc78
hex1340e10

20188688 has 60 divisors (see below), whose sum is σ = 43958124. Its totient is φ = 8928000.

The previous prime is 20188667. The next prime is 20188703. The reversal of 20188688 is 88688102.

It can be written as a sum of positive squares in 2 ways, for example, as 12054784 + 8133904 = 3472^2 + 2852^2 .

It is a super-2 number, since 2×201886882 = 815166246322688, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 199838 + ... + 199938.

Almost surely, 220188688 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 20188688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21979062).

20188688 is an abundant number, since it is smaller than the sum of its proper divisors (23769436).

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

20188688 is a wasteful number, since it uses less digits than its factorization.

20188688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 41.

The square root of 20188688 is about 4493.1823911344. The cubic root of 20188688 is about 272.2927211982.

The spelling of 20188688 in words is "twenty million, one hundred eighty-eight thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 13 16 26 31 52 62 101 104 124 202 208 248 403 404 496 806 808 961 1313 1612 1616 1922 2626 3131 3224 3844 5252 6262 6448 7688 10504 12493 12524 15376 21008 24986 25048 40703 49972 50096 81406 97061 99944 162812 194122 199888 325624 388244 651248 776488 1261793 1552976 2523586 5047172 10094344 20188688