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21793992 = 23311312663
BaseRepresentation
bin101001100100…
…0110011001000
31112000020201220
41103020303020
521034401432
62055042040
7353150223
oct123106310
945006656
1021793992
1111336170
127370320
134690b6c
142c745ba
151da772c
hex14c8cc8

21793992 has 64 divisors (see below), whose sum is σ = 61378560. Its totient is φ = 6388800.

The previous prime is 21793987. The next prime is 21793997. The reversal of 21793992 is 29939712.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21793987) and next prime (21793997).

It is not an unprimeable number, because it can be changed into a prime (21793997) 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, 6853 + ... + 9515.

It is an arithmetic number, because the mean of its divisors is an integer number (959040).

Almost surely, 221793992 is an apocalyptic number.

21793992 is a gapful number since it is divisible by the number (22) 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 21793992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30689280).

21793992 is an abundant number, since it is smaller than the sum of its proper divisors (39584568).

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

21793992 is a wasteful number, since it uses less digits than its factorization.

21793992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2714 (or 2710 counting only the distinct ones).

The product of its digits is 61236, while the sum is 42.

The square root of 21793992 is about 4668.4035815255. The cubic root of 21793992 is about 279.3265789491.

The spelling of 21793992 in words is "twenty-one million, seven hundred ninety-three thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 88 93 124 132 186 248 264 341 372 682 744 1023 1364 2046 2663 2728 4092 5326 7989 8184 10652 15978 21304 29293 31956 58586 63912 82553 87879 117172 165106 175758 234344 247659 330212 351516 495318 660424 703032 908083 990636 1816166 1981272 2724249 3632332 5448498 7264664 10896996 21793992