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23930880 = 211351941
BaseRepresentation
bin101101101001…
…0100000000000
31200000210222220
41123102200000
522111242010
62212531040
7410260221
oct133224000
950023886
1023930880
1112565696
128020a80
134c5b6ac
14326d248
15217a970
hex16d2800

23930880 has 192 divisors, whose sum is σ = 82555200. Its totient is φ = 5898240.

The previous prime is 23930869. The next prime is 23930909. The reversal of 23930880 is 8803932.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 583660 + ... + 583700.

It is an arithmetic number, because the mean of its divisors is an integer number (429975).

Almost surely, 223930880 is an apocalyptic number.

23930880 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 23930880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41277600).

23930880 is an abundant number, since it is smaller than the sum of its proper divisors (58624320).

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

23930880 is a wasteful number, since it uses less digits than its factorization.

23930880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 23930880 is about 4891.9198685179. The cubic root of 23930880 is about 288.1727358824.

The spelling of 23930880 in words is "twenty-three million, nine hundred thirty thousand, eight hundred eighty".