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21868392 = 233713171931
BaseRepresentation
bin101001101101…
…0111101101000
31112011000210110
41103122331220
521044242032
62100414320
7353610150
oct123327550
945130713
1021868392
1111387057
1273a73a0
1346b89a0
142c93760
151dbe7cc
hex14daf68

21868392 has 256 divisors, whose sum is σ = 77414400. Its totient is φ = 4976640.

The previous prime is 21868367. The next prime is 21868393. The reversal of 21868392 is 29386812.

It is a happy number.

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

Its product of digits (41472) is a multiple of the sum of its prime factors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 21868392.

It is not an unprimeable number, because it can be changed into a prime (21868393) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 705417 + ... + 705447.

It is an arithmetic number, because the mean of its divisors is an integer number (302400).

Almost surely, 221868392 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 21868392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38707200).

21868392 is an abundant number, since it is smaller than the sum of its proper divisors (55546008).

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

21868392 is a wasteful number, since it uses less digits than its factorization.

21868392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 92 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 21868392 is about 4676.3652551955. The cubic root of 21868392 is about 279.6440715546.

The spelling of 21868392 in words is "twenty-one million, eight hundred sixty-eight thousand, three hundred ninety-two".