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23963965 = 5172571097
BaseRepresentation
bin101101101101…
…0100100111101
31200002111101021
41123122210331
522113321330
62213344141
7410455534
oct133324475
950074337
1023963965
1112588533
128038051
134c7077c
14327b31b
15218567a
hex16da93d

23963965 has 16 divisors (see below), whose sum is σ = 30594672. Its totient is φ = 17956864.

The previous prime is 23963963. The next prime is 23963981. The reversal of 23963965 is 56936932.

23963965 = 34612 + 34622.

It can be written as a sum of positive squares in 8 ways, for example, as 2033476 + 21930489 = 1426^2 + 4683^2 .

It is a cyclic number.

It is not a de Polignac number, because 23963965 - 21 = 23963963 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23963963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21297 + ... + 22393.

It is an arithmetic number, because the mean of its divisors is an integer number (1912167).

Almost surely, 223963965 is an apocalyptic number.

23963965 is the 3462-nd centered square number.

It is an amenable number.

23963965 is a deficient number, since it is larger than the sum of its proper divisors (6630707).

23963965 is a wasteful number, since it uses less digits than its factorization.

23963965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376.

The product of its digits is 262440, while the sum is 43.

The square root of 23963965 is about 4895.3002972239. The cubic root of 23963965 is about 288.3054765726.

The spelling of 23963965 in words is "twenty-three million, nine hundred sixty-three thousand, nine hundred sixty-five".

Divisors: 1 5 17 85 257 1097 1285 4369 5485 18649 21845 93245 281929 1409645 4792793 23963965