Search a number
-
+
23108928 = 263235233
BaseRepresentation
bin101100000100…
…1110101000000
31121111001111020
41120021311000
521403441203
62143145440
7400264653
oct130116500
947431436
1023108928
1112054097
1278a5280
134a3152b
1430d789a
152067153
hex1609d40

23108928 has 56 divisors (see below), whose sum is σ = 63812928. Its totient is φ = 7366656.

The previous prime is 23108923. The next prime is 23108957. The reversal of 23108928 is 82980132.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23108923) 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, 1800 + ... + 7032.

Almost surely, 223108928 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 23108928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31906464).

23108928 is an abundant number, since it is smaller than the sum of its proper divisors (40704000).

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

23108928 is a wasteful number, since it uses less digits than its factorization.

23108928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5271 (or 5261 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 23108928 is about 4807.1746379760. The cubic root of 23108928 is about 284.8349428994.

The spelling of 23108928 in words is "twenty-three million, one hundred eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 138 184 192 276 368 552 736 1104 1472 2208 4416 5233 10466 15699 20932 31398 41864 62796 83728 120359 125592 167456 240718 251184 334912 361077 481436 502368 722154 962872 1004736 1444308 1925744 2888616 3851488 5777232 7702976 11554464 23108928