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23868460 = 22571121409
BaseRepresentation
bin101101100001…
…1010000101100
31122220122101001
41123003100230
522102242320
62211330044
7406610230
oct133032054
948818331
1023868460
1112522800
127bb0924
134c39165
1432545c0
15216720a
hex16c342c

23868460 has 72 divisors (see below), whose sum is σ = 63010080. Its totient is φ = 7434240.

The previous prime is 23868451. The next prime is 23868463. The reversal of 23868460 is 6486832.

23868460 = T904 + T905 + ... + T958.

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (23868463) 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 23 ways as a sum of consecutive naturals, for example, 16236 + ... + 17644.

It is an arithmetic number, because the mean of its divisors is an integer number (875140).

Almost surely, 223868460 is an apocalyptic number.

23868460 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 23868460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31505040).

23868460 is an abundant number, since it is smaller than the sum of its proper divisors (39141620).

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

23868460 is a wasteful number, since it uses less digits than its factorization.

23868460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1447 (or 1434 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 23868460 is about 4885.5357945675. The cubic root of 23868460 is about 287.9219663844.

The spelling of 23868460 in words is "twenty-three million, eight hundred sixty-eight thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 121 140 154 220 242 308 385 484 605 770 847 1210 1409 1540 1694 2420 2818 3388 4235 5636 7045 8470 9863 14090 15499 16940 19726 28180 30998 39452 49315 61996 77495 98630 108493 154990 170489 197260 216986 309980 340978 433972 542465 681956 852445 1084930 1193423 1704890 2169860 2386846 3409780 4773692 5967115 11934230 23868460