Search a number
-
+
23929920 = 2632571187
BaseRepresentation
bin101101101001…
…0010001000000
31200000202200100
41123102101000
522111224140
62212522400
7410254350
oct133222100
950022610
1023929920
11125649a3
128020400
134c5b121
14326cb60
15217a530
hex16d2440

23929920 has 168 divisors, whose sum is σ = 94146624. Its totient is φ = 5465088.

The previous prime is 23929903. The next prime is 23929933. The reversal of 23929920 is 2992932.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19567 + ... + 20753.

Almost surely, 223929920 is an apocalyptic number.

23929920 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 23929920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47073312).

23929920 is an abundant number, since it is smaller than the sum of its proper divisors (70216704).

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

23929920 is a wasteful number, since it uses less digits than its factorization.

23929920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 23929920 is about 4891.8217465480. The cubic root of 23929920 is about 288.1688824299.

The spelling of 23929920 in words is "twenty-three million, nine hundred twenty-nine thousand, nine hundred twenty".