Search a number
-
+
23018976 = 2532257311
BaseRepresentation
bin101011111001…
…1110111100000
31121022111002200
41113303313200
521343101401
62141213200
7366441501
oct127636740
947274080
1023018976
1111aa2552
127861200
1349cc5c6
1430b2ba8
15204a686
hex15f3de0

23018976 has 72 divisors (see below), whose sum is σ = 65926224. Its totient is φ = 7618560.

The previous prime is 23018923. The next prime is 23018987. The reversal of 23018976 is 67981032.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 23018976.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73861 + ... + 74171.

It is an arithmetic number, because the mean of its divisors is an integer number (915642).

Almost surely, 223018976 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 23018976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32963112).

23018976 is an abundant number, since it is smaller than the sum of its proper divisors (42907248).

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

23018976 is a wasteful number, since it uses less digits than its factorization.

23018976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 23018976 is about 4797.8095001782. The cubic root of 23018976 is about 284.4648869495.

The spelling of 23018976 in words is "twenty-three million, eighteen thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 257 288 311 514 622 771 933 1028 1244 1542 1866 2056 2313 2488 2799 3084 3732 4112 4626 4976 5598 6168 7464 8224 9252 9952 11196 12336 14928 18504 22392 24672 29856 37008 44784 74016 79927 89568 159854 239781 319708 479562 639416 719343 959124 1278832 1438686 1918248 2557664 2877372 3836496 5754744 7672992 11509488 23018976