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21652968 = 2331773727
BaseRepresentation
bin101001010011…
…0010111101000
31111202002021210
41102212113220
521020343333
62052033120
7352022121
oct122462750
944662253
1021652968
111124a217
1273027a0
13464190c
142c39048
151d7aa63
hex14a65e8

21652968 has 64 divisors (see below), whose sum is σ = 58181760. Its totient is φ = 6690816.

The previous prime is 21652963. The next prime is 21652997. The reversal of 21652968 is 86925612.

It is a hoax number, since the sum of its digits (39) 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 (21652963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29421 + ... + 30147.

It is an arithmetic number, because the mean of its divisors is an integer number (909090).

Almost surely, 221652968 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 21652968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29090880).

21652968 is an abundant number, since it is smaller than the sum of its proper divisors (36528792).

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

21652968 is a wasteful number, since it uses less digits than its factorization.

21652968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 822 counting only the distinct ones).

The product of its digits is 51840, while the sum is 39.

The square root of 21652968 is about 4653.2749757563. The cubic root of 21652968 is about 278.7227883375.

The spelling of 21652968 in words is "twenty-one million, six hundred fifty-two thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 73 102 136 146 204 219 292 408 438 584 727 876 1241 1454 1752 2181 2482 2908 3723 4362 4964 5816 7446 8724 9928 12359 14892 17448 24718 29784 37077 49436 53071 74154 98872 106142 148308 159213 212284 296616 318426 424568 636852 902207 1273704 1804414 2706621 3608828 5413242 7217656 10826484 21652968