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23900256 = 2532312677
BaseRepresentation
bin101101100101…
…1000001100000
31122222020222200
41123023001200
522104302011
62212133200
7410102022
oct133130140
948866880
1023900256
1112544686
128007200
134c4a783
143262012
152171856
hex16cb060

23900256 has 72 divisors (see below), whose sum is σ = 70185024. Its totient is φ = 7706880.

The previous prime is 23900231. The next prime is 23900281. The reversal of 23900256 is 65200932.

It is an interprime number because it is at equal distance from previous prime (23900231) and next prime (23900281).

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7590 + ... + 10266.

It is an arithmetic number, because the mean of its divisors is an integer number (974792).

Almost surely, 223900256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23900256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35092512).

23900256 is an abundant number, since it is smaller than the sum of its proper divisors (46284768).

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

23900256 is a wasteful number, since it uses less digits than its factorization.

23900256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2724 (or 2713 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 23900256 is about 4888.7888070564. The cubic root of 23900256 is about 288.0497599206.

The spelling of 23900256 in words is "twenty-three million, nine hundred thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 992 1116 1488 2232 2677 2976 4464 5354 8031 8928 10708 16062 21416 24093 32124 42832 48186 64248 82987 85664 96372 128496 165974 192744 248961 256992 331948 385488 497922 663896 746883 770976 995844 1327792 1493766 1991688 2655584 2987532 3983376 5975064 7966752 11950128 23900256