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20044864 = 267101443
BaseRepresentation
bin100110001110…
…1110001000000
31101201101101101
41030131301000
520112413424
61553344144
7332243560
oct114356100
941641341
1020044864
1110351004
126868054
1341ca988
14293ada0
151b5e344
hex131dc40

20044864 has 56 divisors (see below), whose sum is σ = 46012608. Its totient is φ = 8486400.

The previous prime is 20044841. The next prime is 20044873. The reversal of 20044864 is 46844002.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-3 number, since 3×200448643 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45027 + ... + 45469.

Almost surely, 220044864 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 20044864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23006304).

20044864 is an abundant number, since it is smaller than the sum of its proper divisors (25967744).

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

20044864 is a wasteful number, since it uses less digits than its factorization.

20044864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 20044864 is about 4477.1490928938. The cubic root of 20044864 is about 271.6445761371.

Adding to 20044864 its reverse (46844002), we get a palindrome (66888866).

The spelling of 20044864 in words is "twenty million, forty-four thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 101 112 202 224 404 443 448 707 808 886 1414 1616 1772 2828 3101 3232 3544 5656 6202 6464 7088 11312 12404 14176 22624 24808 28352 44743 45248 49616 89486 99232 178972 198464 313201 357944 626402 715888 1252804 1431776 2505608 2863552 5011216 10022432 20044864