Search a number
-
+
23002896 = 2437223307
BaseRepresentation
bin101011110111…
…1111100010000
31121021200001010
41113233330100
521342043041
62141010520
7366343560
oct127577420
947250033
1023002896
1111a91464
127853a40
1349c51a7
1430aada0
152045a16
hex15eff10

23002896 has 80 divisors (see below), whose sum is σ = 68440064. Its totient is φ = 6521472.

The previous prime is 23002891. The next prime is 23002913. The reversal of 23002896 is 69820032.

It is not an unprimeable number, because it can be changed into a prime (23002891) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74775 + ... + 75081.

Almost surely, 223002896 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 23002896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34220032).

23002896 is an abundant number, since it is smaller than the sum of its proper divisors (45437168).

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

23002896 is a wasteful number, since it uses less digits than its factorization.

23002896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 23002896 is about 4796.1334426807. The cubic root of 23002896 is about 284.3986334824.

The spelling of 23002896 in words is "twenty-three million, two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 223 307 336 446 614 669 892 921 1228 1338 1561 1784 1842 2149 2456 2676 3122 3568 3684 4298 4683 4912 5352 6244 6447 7368 8596 9366 10704 12488 12894 14736 17192 18732 24976 25788 34384 37464 51576 68461 74928 103152 136922 205383 273844 410766 479227 547688 821532 958454 1095376 1437681 1643064 1916908 2875362 3286128 3833816 5750724 7667632 11501448 23002896