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23920900 = 2252435563
BaseRepresentation
bin101101101000…
…0000100000100
31200000022022021
41123100010010
522110432100
62212412524
7410216143
oct133200404
950008267
1023920900
1112559143
128017144
134c56ca3
14326975a
152177a1a
hex16d0104

23920900 has 36 divisors (see below), whose sum is σ = 53125072. Its totient is φ = 9344160.

The previous prime is 23920891. The next prime is 23920909. The reversal of 23920900 is 902932.

It is an interprime number because it is at equal distance from previous prime (23920891) and next prime (23920909).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (23920909) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1519 + ... + 7081.

Almost surely, 223920900 is an apocalyptic number.

23920900 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 23920900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26562536).

23920900 is an abundant number, since it is smaller than the sum of its proper divisors (29204172).

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

23920900 is a wasteful number, since it uses less digits than its factorization.

23920900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5620 (or 5613 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 23920900 is about 4890.8997127318. The cubic root of 23920900 is about 288.1326709985.

The spelling of 23920900 in words is "twenty-three million, nine hundred twenty thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 172 215 430 860 1075 2150 4300 5563 11126 22252 27815 55630 111260 139075 239209 278150 478418 556300 956836 1196045 2392090 4784180 5980225 11960450 23920900