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21935968 = 253797191
BaseRepresentation
bin101001110101…
…1011101100000
31112021110111021
41103223131200
521103422333
62102055224
7354311155
oct123533540
945243437
1021935968
11114228aa
12741a514
134710682
142cb022c
151dd482d
hex14eb760

21935968 has 48 divisors (see below), whose sum is σ = 45045504. Its totient is φ = 10506240.

The previous prime is 21935939. The next prime is 21935983. The reversal of 21935968 is 86953912.

It is a happy number.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 114753 + ... + 114943.

It is an arithmetic number, because the mean of its divisors is an integer number (938448).

Almost surely, 221935968 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 21935968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22522752).

21935968 is an abundant number, since it is smaller than the sum of its proper divisors (23109536).

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

21935968 is a wasteful number, since it uses less digits than its factorization.

21935968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 327 counting only the distinct ones).

The product of its digits is 116640, while the sum is 43.

The square root of 21935968 is about 4683.5849517223. The cubic root of 21935968 is about 279.9318201343.

The spelling of 21935968 in words is "twenty-one million, nine hundred thirty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 32 37 74 97 148 191 194 296 382 388 592 764 776 1184 1528 1552 3056 3104 3589 6112 7067 7178 14134 14356 18527 28268 28712 37054 56536 57424 74108 113072 114848 148216 226144 296432 592864 685499 1370998 2741996 5483992 10967984 21935968