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23868740 = 2257295879
BaseRepresentation
bin101101100001…
…1010101000100
31122220122202102
41123003111010
522102244430
62211331232
7406611110
oct133032504
948818672
1023868740
1112522a35
127bb0b18
134c3931c
143254740
152167345
hex16c3544

23868740 has 48 divisors (see below), whose sum is σ = 59270400. Its totient is φ = 7900032.

The previous prime is 23868739. The next prime is 23868743. The reversal of 23868740 is 4786832.

It is a junction number, because it is equal to n+sod(n) for n = 23868694 and 23868703.

It is not an unprimeable number, because it can be changed into a prime (23868743) by changing a digit.

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, 1121 + ... + 6999.

It is an arithmetic number, because the mean of its divisors is an integer number (1234800).

Almost surely, 223868740 is an apocalyptic number.

23868740 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 23868740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29635200).

23868740 is an abundant number, since it is smaller than the sum of its proper divisors (35401660).

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

23868740 is a wasteful number, since it uses less digits than its factorization.

23868740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5924 (or 5922 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 23868740 is about 4885.5644505011. The cubic root of 23868740 is about 287.9230922472.

The spelling of 23868740 in words is "twenty-three million, eight hundred sixty-eight thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 290 406 580 812 1015 2030 4060 5879 11758 23516 29395 41153 58790 82306 117580 164612 170491 205765 340982 411530 681964 823060 852455 1193437 1704910 2386874 3409820 4773748 5967185 11934370 23868740