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23981920 = 255374051
BaseRepresentation
bin101101101111…
…0111101100000
31200010102000021
41123132331200
522114410140
62214003224
7410562064
oct133367540
950112007
1023981920
111259aa76
128046514
134c789b1
143283aa4
15218ab4a
hex16def60

23981920 has 48 divisors (see below), whose sum is σ = 58202928. Its totient is φ = 9331200.

The previous prime is 23981899. The next prime is 23981921. The reversal of 23981920 is 2918932.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23981921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3895 + ... + 7945.

It is an arithmetic number, because the mean of its divisors is an integer number (1212561).

Almost surely, 223981920 is an apocalyptic number.

23981920 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 23981920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29101464).

23981920 is an abundant number, since it is smaller than the sum of its proper divisors (34221008).

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

23981920 is a wasteful number, since it uses less digits than its factorization.

23981920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4103 (or 4095 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 23981920 is about 4897.1338556343. The cubic root of 23981920 is about 288.3774628867.

The spelling of 23981920 in words is "twenty-three million, nine hundred eighty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 148 160 185 296 370 592 740 1184 1480 2960 4051 5920 8102 16204 20255 32408 40510 64816 81020 129632 149887 162040 299774 324080 599548 648160 749435 1199096 1498870 2398192 2997740 4796384 5995480 11990960 23981920