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23029864 = 23111341491
BaseRepresentation
bin101011111011…
…0100001101000
31121100001000221
41113312201220
521343423424
62141335424
7366515314
oct127664150
947301027
1023029864
1111aaa750
127867574
134a04550
1430b6b44
15204d9e4
hex15f6868

23029864 has 64 divisors (see below), whose sum is σ = 52073280. Its totient is φ = 9408000.

The previous prime is 23029819. The next prime is 23029889. The reversal of 23029864 is 46892032.

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 15 ways as a sum of consecutive naturals, for example, 46659 + ... + 47149.

It is an arithmetic number, because the mean of its divisors is an integer number (813645).

Almost surely, 223029864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23029864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26036640).

23029864 is an abundant number, since it is smaller than the sum of its proper divisors (29043416).

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

23029864 is a wasteful number, since it uses less digits than its factorization.

23029864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 23029864 is about 4798.9440505178. The cubic root of 23029864 is about 284.5097306107.

The spelling of 23029864 in words is "twenty-three million, twenty-nine thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 11 13 22 26 41 44 52 82 88 104 143 164 286 328 451 491 533 572 902 982 1066 1144 1804 1964 2132 3608 3928 4264 5401 5863 6383 10802 11726 12766 20131 21604 23452 25532 40262 43208 46904 51064 70213 80524 140426 161048 221441 261703 280852 442882 523406 561704 885764 1046812 1771528 2093624 2878733 5757466 11514932 23029864