Search a number
-
+
23928138 = 23213293349
BaseRepresentation
bin101101101000…
…1110101001010
31200000200020100
41123101311022
522111200023
62212510230
7410246223
oct133216512
950020210
1023928138
1112563623
12801b376
134c5a380
14326c24a
152179c43
hex16d1d4a

23928138 has 48 divisors (see below), whose sum is σ = 56183400. Its totient is φ = 7316352.

The previous prime is 23928137. The next prime is 23928173. The reversal of 23928138 is 83182932.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 23068809 + 859329 = 4803^2 + 927^2 .

It is not an unprimeable number, because it can be changed into a prime (23928137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68388 + ... + 68736.

Almost surely, 223928138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23928138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28091700).

23928138 is an abundant number, since it is smaller than the sum of its proper divisors (32255262).

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

23928138 is a wasteful number, since it uses less digits than its factorization.

23928138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 660 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 23928138 is about 4891.6396024237. The cubic root of 23928138 is about 288.1617291856.

The spelling of 23928138 in words is "twenty-three million, nine hundred twenty-eight thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 293 349 586 698 879 1047 1758 2094 2637 3141 3809 4537 5274 6282 7618 9074 11427 13611 22854 27222 34281 40833 68562 81666 102257 204514 306771 613542 920313 1329341 1840626 2658682 3988023 7976046 11964069 23928138