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23965520 = 245299569
BaseRepresentation
bin101101101101…
…0111101010000
31200002120111212
41123122331100
522113344040
62213355252
7410463215
oct133327520
950076455
1023965520
1112589717
128038b28
134c713a7
14327bb0c
152185d65
hex16daf50

23965520 has 20 divisors (see below), whose sum is σ = 55720020. Its totient is φ = 9586176.

The previous prime is 23965483. The next prime is 23965531. The reversal of 23965520 is 2556932.

It can be written as a sum of positive squares in 2 ways, for example, as 7772944 + 16192576 = 2788^2 + 4024^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×239655202 = 1148692297740800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 149705 + ... + 149864.

It is an arithmetic number, because the mean of its divisors is an integer number (2786001).

Almost surely, 223965520 is an apocalyptic number.

23965520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23965520 is an abundant number, since it is smaller than the sum of its proper divisors (31754500).

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

23965520 is a wasteful number, since it uses less digits than its factorization.

23965520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299582 (or 299576 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 32.

The square root of 23965520 is about 4895.4591204503. The cubic root of 23965520 is about 288.3117123983.

The spelling of 23965520 in words is "twenty-three million, nine hundred sixty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 299569 599138 1198276 1497845 2396552 2995690 4793104 5991380 11982760 23965520