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20188064 = 251323733
BaseRepresentation
bin100110100000…
…0101110100000
31101222122211002
41031000232200
520132004224
62000411132
7333411221
oct115005640
941878732
1020188064
1110439656
126916aa8
13424ac00
142977248
151b8b9ae
hex1340ba0

20188064 has 36 divisors (see below), whose sum is σ = 43049286. Its totient is φ = 9315072.

The previous prime is 20188057. The next prime is 20188067. The reversal of 20188064 is 46088102.

It can be written as a sum of positive squares in 3 ways, for example, as 10627600 + 9560464 = 3260^2 + 3092^2 .

It is not an unprimeable number, because it can be changed into a prime (20188067) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3542 + ... + 7274.

Almost surely, 220188064 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 20188064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21524643).

20188064 is an abundant number, since it is smaller than the sum of its proper divisors (22861222).

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

20188064 is a wasteful number, since it uses less digits than its factorization.

20188064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3769 (or 3748 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 20188064 is about 4493.1129520634. The cubic root of 20188064 is about 272.2899157921.

The spelling of 20188064 in words is "twenty million, one hundred eighty-eight thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 169 208 338 416 676 1352 2704 3733 5408 7466 14932 29864 48529 59728 97058 119456 194116 388232 630877 776464 1261754 1552928 2523508 5047016 10094032 20188064