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23958240 = 2535193771
BaseRepresentation
bin101101101100…
…1001011100000
31200002012112020
41123121023200
522113130430
62213301440
7410433045
oct133311340
950065466
1023958240
11125841a9
128034880
134c6ac97
1432791cc
152183b10
hex16d92e0

23958240 has 192 divisors, whose sum is σ = 82736640. Its totient is φ = 5806080.

The previous prime is 23958223. The next prime is 23958247. The reversal of 23958240 is 4285932.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23958247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 337405 + ... + 337475.

It is an arithmetic number, because the mean of its divisors is an integer number (430920).

Almost surely, 223958240 is an apocalyptic number.

23958240 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 23958240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41368320).

23958240 is an abundant number, since it is smaller than the sum of its proper divisors (58778400).

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

23958240 is a wasteful number, since it uses less digits than its factorization.

23958240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 23958240 is about 4894.7155177804. The cubic root of 23958240 is about 288.2825159829.

The spelling of 23958240 in words is "twenty-three million, nine hundred fifty-eight thousand, two hundred forty".