Search a number
-
+
23540656 = 243121531
BaseRepresentation
bin101100111001…
…1001110110000
31122021222201011
41121303032300
522011300111
62200320304
7404043436
oct131631660
948258634
1023540656
1112319497
127a73094
134b52ba9
1431aad56
152100021
hex16733b0

23540656 has 30 divisors (see below), whose sum is σ = 47159556. Its totient is φ = 11383200.

The previous prime is 23540653. The next prime is 23540669. The reversal of 23540656 is 65604532.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (23540653) 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 5 ways as a sum of consecutive naturals, for example, 14611 + ... + 16141.

Almost surely, 223540656 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 23540656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23579778).

23540656 is an abundant number, since it is smaller than the sum of its proper divisors (23618900).

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

23540656 is a wasteful number, since it uses less digits than its factorization.

23540656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1601 (or 1564 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

The square root of 23540656 is about 4851.8713915354. The cubic root of 23540656 is about 286.5978008966.

The spelling of 23540656 in words is "twenty-three million, five hundred forty thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 31 62 124 248 496 961 1531 1922 3062 3844 6124 7688 12248 15376 24496 47461 94922 189844 379688 759376 1471291 2942582 5885164 11770328 23540656