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23021768 = 23721119281
BaseRepresentation
bin101011111010…
…0100011001000
31121022121221002
41113310203020
521343144033
62141234132
7366452600
oct127644310
947277832
1023021768
1111aa4660
127862948
134a00963
1430b3c00
15204b3e8
hex15f48c8

23021768 has 96 divisors (see below), whose sum is σ = 57866400. Its totient is φ = 8467200.

The previous prime is 23021759. The next prime is 23021771. The reversal of 23021768 is 86712032.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 23021768.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81788 + ... + 82068.

It is an arithmetic number, because the mean of its divisors is an integer number (602775).

Almost surely, 223021768 is an apocalyptic number.

23021768 is a gapful number since it is divisible by the number (28) 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 23021768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28933200).

23021768 is an abundant number, since it is smaller than the sum of its proper divisors (34844632).

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

23021768 is a wasteful number, since it uses less digits than its factorization.

23021768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 23021768 is about 4798.1004574727. The cubic root of 23021768 is about 284.4763875169.

The spelling of 23021768 in words is "twenty-three million, twenty-one thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 19 22 28 38 44 49 56 76 77 88 98 133 152 154 196 209 266 281 308 392 418 532 539 562 616 836 931 1064 1078 1124 1463 1672 1862 1967 2156 2248 2926 3091 3724 3934 4312 5339 5852 6182 7448 7868 10241 10678 11704 12364 13769 15736 20482 21356 21637 24728 27538 37373 40964 42712 43274 55076 58729 74746 81928 86548 110152 117458 149492 151459 173096 234916 261611 298984 302918 411103 469832 523222 605836 822206 1046444 1211672 1644412 2092888 2877721 3288824 5755442 11510884 23021768