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21835268 = 22713223269
BaseRepresentation
bin101001101001…
…0111000000100
31112002100100122
41103102320010
521042212033
62100001112
7353411450
oct123227004
945070318
1021835268
1111364184
127390198
1346a68a0
142c85660
151db4a98
hex14d2e04

21835268 has 48 divisors (see below), whose sum is σ = 47416320. Its totient is φ = 8567424.

The previous prime is 21835267. The next prime is 21835309. The reversal of 21835268 is 86253812.

It is not an unprimeable number, because it can be changed into a prime (21835267) 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, 81038 + ... + 81306.

It is an arithmetic number, because the mean of its divisors is an integer number (987840).

Almost surely, 221835268 is an apocalyptic number.

21835268 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21835268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23708160).

21835268 is an abundant number, since it is smaller than the sum of its proper divisors (25581052).

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

21835268 is a wasteful number, since it uses less digits than its factorization.

21835268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 514 counting only the distinct ones).

The product of its digits is 23040, while the sum is 35.

The square root of 21835268 is about 4672.8222735302. The cubic root of 21835268 is about 279.5028081425.

The spelling of 21835268 in words is "twenty-one million, eight hundred thirty-five thousand, two hundred sixty-eight".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 223 269 364 446 538 892 1076 1561 1883 2899 3122 3497 3766 5798 6244 6994 7532 11596 13988 20293 24479 40586 48958 59987 81172 97916 119974 239948 419909 779831 839818 1559662 1679636 3119324 5458817 10917634 21835268