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20065188 = 223112131063
BaseRepresentation
bin100110010001…
…0101110100100
31101202102021010
41030202232210
520114041223
61554022220
7332360043
oct114425644
941672233
1020065188
1110365300
126877970
134206cc0
14294455a
151b65393
hex1322ba4

20065188 has 72 divisors (see below), whose sum is σ = 55472704. Its totient is φ = 5607360.

The previous prime is 20065183. The next prime is 20065189. The reversal of 20065188 is 88156002.

It is a super-2 number, since 2×200651882 = 805223538950688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20065181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18345 + ... + 19407.

Almost surely, 220065188 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 20065188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27736352).

20065188 is an abundant number, since it is smaller than the sum of its proper divisors (35407516).

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

20065188 is a wasteful number, since it uses less digits than its factorization.

20065188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 20065188 is about 4479.4182658019. The cubic root of 20065188 is about 271.7363542519.

The spelling of 20065188 in words is "twenty million, sixty-five thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 121 132 143 156 242 286 363 429 484 572 726 858 1063 1452 1573 1716 2126 3146 3189 4252 4719 6292 6378 9438 11693 12756 13819 18876 23386 27638 35079 41457 46772 55276 70158 82914 128623 140316 152009 165828 257246 304018 385869 456027 514492 608036 771738 912054 1543476 1672099 1824108 3344198 5016297 6688396 10032594 20065188