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23425920 = 273257283
BaseRepresentation
bin101100101011…
…1001110000000
31122002011022200
41121113032000
521444112140
62154033200
7403055100
oct131271600
948064280
1023425920
1112250271
127a18800
134b128bb
14317b200
1520cb030
hex1657380

23425920 has 288 divisors, whose sum is σ = 95233320. Its totient is φ = 5289984.

The previous prime is 23425907. The next prime is 23425931. The reversal of 23425920 is 2952432.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 282199 + ... + 282281.

Almost surely, 223425920 is an apocalyptic number.

23425920 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 23425920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47616660).

23425920 is an abundant number, since it is smaller than the sum of its proper divisors (71807400).

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

23425920 is a wasteful number, since it uses less digits than its factorization.

23425920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 23425920 is about 4840.0330577383. The cubic root of 23425920 is about 286.1314211728.

The spelling of 23425920 in words is "twenty-three million, four hundred twenty-five thousand, nine hundred twenty".