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23120656 = 2413293833
BaseRepresentation
bin101100000110…
…0101100010000
31121111122120121
41120030230100
521404330111
62143320024
7400344106
oct130145420
947448517
1023120656
1112061989
1278b0014
134a36980
1430dbc76
15206a871
hex160cb10

23120656 has 40 divisors (see below), whose sum is σ = 49918680. Its totient is φ = 10300416.

The previous prime is 23120651. The next prime is 23120683. The reversal of 23120656 is 65602132.

It can be written as a sum of positive squares in 4 ways, for example, as 80656 + 23040000 = 284^2 + 4800^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 23120656.

It is not an unprimeable number, because it can be changed into a prime (23120651) 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, 4116 + ... + 7948.

It is an arithmetic number, because the mean of its divisors is an integer number (1247967).

Almost surely, 223120656 is an apocalyptic number.

23120656 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23120656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24959340).

23120656 is an abundant number, since it is smaller than the sum of its proper divisors (26798024).

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

23120656 is a wasteful number, since it uses less digits than its factorization.

23120656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3883 (or 3877 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 23120656 is about 4808.3943265918. The cubic root of 23120656 is about 284.8831202279.

Adding to 23120656 its reverse (65602132), we get a palindrome (88722788).

The spelling of 23120656 in words is "twenty-three million, one hundred twenty thousand, six hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 29 52 58 104 116 208 232 377 464 754 1508 3016 3833 6032 7666 15332 30664 49829 61328 99658 111157 199316 222314 398632 444628 797264 889256 1445041 1778512 2890082 5780164 11560328 23120656