Search a number
-
+
23926320 = 24335111953
BaseRepresentation
bin101101101000…
…1011000110000
31200000120202000
41123101120300
522111120240
62212454000
7410241015
oct133213060
950016660
1023926320
1112562220
12801a300
134c595b2
14326b70c
152179430
hex16d1630

23926320 has 320 divisors, whose sum is σ = 96422400. Its totient is φ = 5391360.

The previous prime is 23926283. The next prime is 23926321. The reversal of 23926320 is 2362932.

23926320 is a `hidden beast` number, since 23 + 9 + 2 + 632 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (23926321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 451414 + ... + 451466.

It is an arithmetic number, because the mean of its divisors is an integer number (301320).

Almost surely, 223926320 is an apocalyptic number.

23926320 is a gapful number since it is divisible by the number (20) 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 23926320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48211200).

23926320 is an abundant number, since it is smaller than the sum of its proper divisors (72496080).

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

23926320 is a wasteful number, since it uses less digits than its factorization.

23926320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 23926320 is about 4891.4537716307. The cubic root of 23926320 is about 288.1544310652.

The spelling of 23926320 in words is "twenty-three million, nine hundred twenty-six thousand, three hundred twenty".