Search a number
-
+
23157936 = 2432732203
BaseRepresentation
bin101100001010…
…1110010110000
31121120112201100
41120111302300
521412023221
62144204400
7400560564
oct130256260
947515640
1023157936
111208799a
127909700
134a4a929
14310b6a4
152076926
hex1615cb0

23157936 has 60 divisors (see below), whose sum is σ = 65727688. Its totient is φ = 7610112.

The previous prime is 23157853. The next prime is 23157943. The reversal of 23157936 is 63975132.

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 23157936.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9411 + ... + 11613.

Almost surely, 223157936 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 23157936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32863844).

23157936 is an abundant number, since it is smaller than the sum of its proper divisors (42569752).

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

23157936 is a wasteful number, since it uses less digits than its factorization.

23157936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2290 (or 2281 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 23157936 is about 4812.2693191466. The cubic root of 23157936 is about 285.0361542315.

The spelling of 23157936 in words is "twenty-three million, one hundred fifty-seven thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 73 144 146 219 292 438 584 657 876 1168 1314 1752 2203 2628 3504 4406 5256 6609 8812 10512 13218 17624 19827 26436 35248 39654 52872 79308 105744 158616 160819 317232 321638 482457 643276 964914 1286552 1447371 1929828 2573104 2894742 3859656 5789484 7719312 11578968 23157936