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23092640 = 2551011429
BaseRepresentation
bin101100000010…
…1110110100000
31121110020010222
41120011312200
521402431030
62142542212
7400166324
oct130056640
947406128
1023092640
111204292a
127897968
134a26cac
1430d1984
1520623e5
hex1605da0

23092640 has 48 divisors (see below), whose sum is σ = 55135080. Its totient is φ = 9139200.

The previous prime is 23092639. The next prime is 23092661. The reversal of 23092640 is 4629032.

It can be written as a sum of positive squares in 4 ways, for example, as 19044496 + 4048144 = 4364^2 + 2012^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15446 + ... + 16874.

Almost surely, 223092640 is an apocalyptic number.

23092640 is a gapful number since it is divisible by the number (20) 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 23092640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27567540).

23092640 is an abundant number, since it is smaller than the sum of its proper divisors (32042440).

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

23092640 is a wasteful number, since it uses less digits than its factorization.

23092640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1545 (or 1537 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 23092640 is about 4805.4802049327. The cubic root of 23092640 is about 284.7680065479.

It can be divided in two parts, 23092 and 640, that added together give a palindrome (23732).

The spelling of 23092640 in words is "twenty-three million, ninety-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 101 160 202 404 505 808 1010 1429 1616 2020 2858 3232 4040 5716 7145 8080 11432 14290 16160 22864 28580 45728 57160 114320 144329 228640 288658 577316 721645 1154632 1443290 2309264 2886580 4618528 5773160 11546320 23092640