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23026880 = 265227317
BaseRepresentation
bin101011111010…
…1110011000000
31121022212221102
41113311303000
521343330010
62141313532
7366503522
oct127656300
947285842
1023026880
1111aa8488
1278658a8
134a03096
1430b5a12
15204cba5
hex15f5cc0

23026880 has 56 divisors (see below), whose sum is σ = 55248048. Its totient is φ = 9141248.

The previous prime is 23026853. The next prime is 23026909. The reversal of 23026880 is 8862032.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72482 + ... + 72798.

Almost surely, 223026880 is an apocalyptic number.

23026880 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 23026880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27624024).

23026880 is an abundant number, since it is smaller than the sum of its proper divisors (32221168).

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

23026880 is a wasteful number, since it uses less digits than its factorization.

23026880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 23026880 is about 4798.6331387177. The cubic root of 23026880 is about 284.4974420202.

The spelling of 23026880 in words is "twenty-three million, twenty-six thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 227 317 320 454 634 908 1135 1268 1585 1816 2270 2536 3170 3632 4540 5072 6340 7264 9080 10144 12680 14528 18160 20288 25360 36320 50720 71959 72640 101440 143918 287836 359795 575672 719590 1151344 1439180 2302688 2878360 4605376 5756720 11513440 23026880