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23013640 = 2351344257
BaseRepresentation
bin101011111001…
…0100100001000
31121022012210001
41113302210020
521342414030
62141132344
7366420106
oct127624410
947265701
1023013640
1111a99541
12785a0b4
1349ca050
1430b0c76
152048cca
hex15f2908

23013640 has 32 divisors (see below), whose sum is σ = 55765080. Its totient is φ = 8497152.

The previous prime is 23013637. The next prime is 23013647. The reversal of 23013640 is 4631032.

It can be written as a sum of positive squares in 4 ways, for example, as 19838116 + 3175524 = 4454^2 + 1782^2 .

It is not an unprimeable number, because it can be changed into a prime (23013647) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 21609 + ... + 22648.

Almost surely, 223013640 is an apocalyptic number.

23013640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23013640 is an abundant number, since it is smaller than the sum of its proper divisors (32751440).

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

23013640 is a wasteful number, since it uses less digits than its factorization.

23013640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44281 (or 44277 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 23013640 is about 4797.2533808420. The cubic root of 23013640 is about 284.4429047678.

Adding to 23013640 its reverse (4631032), we get a palindrome (27644672).

It can be divided in two parts, 23013 and 640, that added together give a triangular number (23653 = T217).

The spelling of 23013640 in words is "twenty-three million, thirteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 44257 88514 177028 221285 354056 442570 575341 885140 1150682 1770280 2301364 2876705 4602728 5753410 11506820 23013640