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23281920 = 283254347
BaseRepresentation
bin101100011010…
…0000100000000
31121210211210100
41120310010000
521430010140
62151002400
7401615214
oct130640400
947724710
1023281920
1112162062
127969400
134a921ac
143140944
15209d530
hex1634100

23281920 has 216 divisors, whose sum is σ = 84180096. Its totient is φ = 5935104.

The previous prime is 23281919. The next prime is 23281933. The reversal of 23281920 is 2918232.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 495337 + ... + 495383.

Almost surely, 223281920 is an apocalyptic number.

23281920 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 23281920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42090048).

23281920 is an abundant number, since it is smaller than the sum of its proper divisors (60898176).

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

23281920 is a wasteful number, since it uses less digits than its factorization.

23281920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 23281920 is about 4825.1341950250. The cubic root of 23281920 is about 285.5439289213.

The spelling of 23281920 in words is "twenty-three million, two hundred eighty-one thousand, nine hundred twenty".