Search a number
-
+
11813568 = 263134733
BaseRepresentation
bin101101000100…
…001011000000
3211020012011120
4231010023000
511011013233
61101112240
7202261614
oct55041300
924205146
1011813568
116739788
123b58680
1325a81a0
1417d7344
1510854b3
hexb442c0

11813568 has 56 divisors (see below), whose sum is σ = 33668208. Its totient is φ = 3634176.

The previous prime is 11813567. The next prime is 11813587. The reversal of 11813568 is 86531811.

It is not an unprimeable number, because it can be changed into a prime (11813563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130 + ... + 4862.

It is an arithmetic number, because the mean of its divisors is an integer number (601218).

Almost surely, 211813568 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 11813568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16834104).

11813568 is an abundant number, since it is smaller than the sum of its proper divisors (21854640).

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

11813568 is a wasteful number, since it uses less digits than its factorization.

11813568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4761 (or 4751 counting only the distinct ones).

The product of its digits is 5760, while the sum is 33.

The square root of 11813568 is about 3437.0871388430. The cubic root of 11813568 is about 227.7510363389.

The spelling of 11813568 in words is "eleven million, eight hundred thirteen thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 4733 9466 14199 18932 28398 37864 56796 61529 75728 113592 123058 151456 184587 227184 246116 302912 369174 454368 492232 738348 908736 984464 1476696 1968928 2953392 3937856 5906784 11813568