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20713488 = 24337107109
BaseRepresentation
bin100111100000…
…1000000010000
31102222100120020
41033001000100
520300312423
62015543440
7341030115
oct117010020
942870506
1020713488
1110768394
126b2ab80
1343a3103
142a7290c
151c424e3
hex13c1010

20713488 has 80 divisors (see below), whose sum is σ = 55978560. Its totient is φ = 6594048.

The previous prime is 20713457. The next prime is 20713489. The reversal of 20713488 is 88431702.

It is a super-2 number, since 2×207134882 = 858097170252288, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (20713489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189978 + ... + 190086.

It is an arithmetic number, because the mean of its divisors is an integer number (699732).

Almost surely, 220713488 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 20713488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27989280).

20713488 is an abundant number, since it is smaller than the sum of its proper divisors (35265072).

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

20713488 is a wasteful number, since it uses less digits than its factorization.

20713488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 20713488 is about 4551.2073123513. The cubic root of 20713488 is about 274.6319616607.

It can be divided in two parts, 207 and 13488, that added together give a triangular number (13695 = T165).

The spelling of 20713488 in words is "twenty million, seven hundred thirteen thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 107 109 111 148 214 218 222 296 321 327 428 436 444 592 642 654 856 872 888 1284 1308 1712 1744 1776 2568 2616 3959 4033 5136 5232 7918 8066 11663 11877 12099 15836 16132 23326 23754 24198 31672 32264 34989 46652 47508 48396 63344 64528 69978 93304 95016 96792 139956 186608 190032 193584 279912 431531 559824 863062 1294593 1726124 2589186 3452248 5178372 6904496 10356744 20713488