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20713344 = 2731719167
BaseRepresentation
bin100111100000…
…0111110000000
31102222100100220
41033000332000
520300311334
62015543040
7341026521
oct117007600
942870326
1020713344
1110768273
126b2aa80
1343a3022
142a72848
151c42449
hex13c0f80

20713344 has 128 divisors (see below), whose sum is σ = 61689600. Its totient is φ = 6119424.

The previous prime is 20713321. The next prime is 20713369. The reversal of 20713344 is 44331702.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123949 + ... + 124115.

It is an arithmetic number, because the mean of its divisors is an integer number (481950).

Almost surely, 220713344 is an apocalyptic number.

20713344 is a gapful number since it is divisible by the number (24) 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 20713344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30844800).

20713344 is an abundant number, since it is smaller than the sum of its proper divisors (40976256).

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

20713344 is a wasteful number, since it uses less digits than its factorization.

20713344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 20713344 is about 4551.1914923457. The cubic root of 20713344 is about 274.6313252462.

The spelling of 20713344 in words is "twenty million, seven hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 32 34 38 48 51 57 64 68 76 96 102 114 128 136 152 167 192 204 228 272 304 323 334 384 408 456 501 544 608 646 668 816 912 969 1002 1088 1216 1292 1336 1632 1824 1938 2004 2176 2432 2584 2672 2839 3173 3264 3648 3876 4008 5168 5344 5678 6346 6528 7296 7752 8016 8517 9519 10336 10688 11356 12692 15504 16032 17034 19038 20672 21376 22712 25384 31008 32064 34068 38076 41344 45424 50768 53941 62016 64128 68136 76152 90848 101536 107882 124032 136272 152304 161823 181696 203072 215764 272544 304608 323646 363392 406144 431528 545088 609216 647292 863056 1090176 1218432 1294584 1726112 2589168 3452224 5178336 6904448 10356672 20713344