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23868940 = 22519232731
BaseRepresentation
bin101101100001…
…1011000001100
31122220200000211
41123003120030
522102301230
62211332204
7406611514
oct133033014
948820024
1023868940
11125230a7
127bb1064
134c39444
143254844
15216742a
hex16c360c

23868940 has 48 divisors (see below), whose sum is σ = 55077120. Its totient is φ = 8648640.

The previous prime is 23868931. The next prime is 23869031. The reversal of 23868940 is 4986832.

It is a junction number, because it is equal to n+sod(n) for n = 23868893 and 23868902.

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 15 ways as a sum of consecutive naturals, for example, 7375 + ... + 10105.

It is an arithmetic number, because the mean of its divisors is an integer number (1147440).

Almost surely, 223868940 is an apocalyptic number.

23868940 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 23868940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27538560).

23868940 is an abundant number, since it is smaller than the sum of its proper divisors (31208180).

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

23868940 is a wasteful number, since it uses less digits than its factorization.

23868940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2782 (or 2780 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 23868940 is about 4885.5849189222. The cubic root of 23868940 is about 287.9238964296.

The spelling of 23868940 in words is "twenty-three million, eight hundred sixty-eight thousand, nine hundred forty".

Divisors: 1 2 4 5 10 19 20 23 38 46 76 92 95 115 190 230 380 437 460 874 1748 2185 2731 4370 5462 8740 10924 13655 27310 51889 54620 62813 103778 125626 207556 251252 259445 314065 518890 628130 1037780 1193447 1256260 2386894 4773788 5967235 11934470 23868940