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21908964 = 223711131181
BaseRepresentation
bin101001110010…
…0110111100100
31112020002110010
41103210313210
521102041324
62101330220
7354136350
oct123446744
945202403
1021908964
1111404590
127406970
1347012ac
142ca4460
151dcb829
hex14e4de4

21908964 has 96 divisors (see below), whose sum is σ = 64576512. Its totient is φ = 5616000.

The previous prime is 21908959. The next prime is 21908987. The reversal of 21908964 is 46980912.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120954 + ... + 121134.

It is an arithmetic number, because the mean of its divisors is an integer number (672672).

Almost surely, 221908964 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 21908964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32288256).

21908964 is an abundant number, since it is smaller than the sum of its proper divisors (42667548).

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

21908964 is a wasteful number, since it uses less digits than its factorization.

21908964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 21908964 is about 4680.7012295168. The cubic root of 21908964 is about 279.8169041067.

The spelling of 21908964 in words is "twenty-one million, nine hundred eight thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 131 132 154 181 231 262 308 362 393 462 524 543 724 786 917 924 1086 1267 1441 1572 1834 1991 2172 2534 2751 2882 3668 3801 3982 4323 5068 5502 5764 5973 7602 7964 8646 10087 11004 11946 13937 15204 17292 20174 23711 23892 27874 30261 40348 41811 47422 55748 60522 71133 83622 94844 121044 142266 165977 167244 260821 284532 331954 497931 521642 663908 782463 995862 1043284 1564926 1825747 1991724 3129852 3651494 5477241 7302988 10954482 21908964