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23868320 = 2557101211
BaseRepresentation
bin101101100001…
…1001110100000
31122220122011212
41123003032200
522102241240
62211325252
7406606640
oct133031640
948818155
1023868320
1112522693
127bb0828
134c39088
143254520
152167165
hex16c33a0

23868320 has 96 divisors (see below), whose sum is σ = 65390976. Its totient is φ = 8064000.

The previous prime is 23868301. The next prime is 23868337. The reversal of 23868320 is 2386832.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 113015 + ... + 113225.

It is an arithmetic number, because the mean of its divisors is an integer number (681156).

Almost surely, 223868320 is an apocalyptic number.

23868320 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 23868320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32695488).

23868320 is an abundant number, since it is smaller than the sum of its proper divisors (41522656).

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

23868320 is a wasteful number, since it uses less digits than its factorization.

23868320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 23868320 is about 4885.5214665376. The cubic root of 23868320 is about 287.9214034497.

The spelling of 23868320 in words is "twenty-three million, eight hundred sixty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 101 112 140 160 202 211 224 280 404 422 505 560 707 808 844 1010 1055 1120 1414 1477 1616 1688 2020 2110 2828 2954 3232 3376 3535 4040 4220 5656 5908 6752 7070 7385 8080 8440 11312 11816 14140 14770 16160 16880 21311 22624 23632 28280 29540 33760 42622 47264 56560 59080 85244 106555 113120 118160 149177 170488 213110 236320 298354 340976 426220 596708 681952 745885 852440 1193416 1491770 1704880 2386832 2983540 3409760 4773664 5967080 11934160 23868320