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21928764 = 22311132983
BaseRepresentation
bin101001110100…
…1101100111100
31112021002121110
41103221230330
521103210024
62102002020
7354251154
oct123515474
945232543
1021928764
1111418450
127416310
13470a300
142cab764
151dd2629
hex14e9b3c

21928764 has 72 divisors (see below), whose sum is σ = 60504192. Its totient is φ = 6127680.

The previous prime is 21928763. The next prime is 21928769. The reversal of 21928764 is 46782912.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21928763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21817 + ... + 22799.

It is an arithmetic number, because the mean of its divisors is an integer number (840336).

Almost surely, 221928764 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 21928764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30252096).

21928764 is an abundant number, since it is smaller than the sum of its proper divisors (38575428).

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

21928764 is a wasteful number, since it uses less digits than its factorization.

21928764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027 (or 1012 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 21928764 is about 4682.8158195684. The cubic root of 21928764 is about 279.9011726055.

The spelling of 21928764 in words is "twenty-one million, nine hundred twenty-eight thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 169 286 338 429 507 572 676 858 983 1014 1716 1859 1966 2028 2949 3718 3932 5577 5898 7436 10813 11154 11796 12779 21626 22308 25558 32439 38337 43252 51116 64878 76674 129756 140569 153348 166127 281138 332254 421707 498381 562276 664508 843414 996762 1686828 1827397 1993524 3654794 5482191 7309588 10964382 21928764