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23628085 = 513593613
BaseRepresentation
bin101101000100…
…0100100110101
31122110102122021
41122020210311
522022044320
62202233141
7404556355
oct132104465
948412567
1023628085
1112379148
127ab57b1
134b83920
1431d0b65
15211adaa
hex1688935

23628085 has 16 divisors (see below), whose sum is σ = 30636144. Its totient is φ = 17390592.

The previous prime is 23628083. The next prime is 23628091. The reversal of 23628085 is 58082632.

It can be written as a sum of positive squares in 8 ways, for example, as 6932689 + 16695396 = 2633^2 + 4086^2 .

It is a cyclic number.

It is not a de Polignac number, because 23628085 - 21 = 23628083 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 23628085.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23628083) 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 15 ways as a sum of consecutive naturals, for example, 38239 + ... + 38851.

It is an arithmetic number, because the mean of its divisors is an integer number (1914759).

Almost surely, 223628085 is an apocalyptic number.

It is an amenable number.

23628085 is a deficient number, since it is larger than the sum of its proper divisors (7008059).

23628085 is a wasteful number, since it uses less digits than its factorization.

23628085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224.

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 23628085 is about 4860.8728640029. The cubic root of 23628085 is about 286.9521665923.

The spelling of 23628085 in words is "twenty-three million, six hundred twenty-eight thousand, eighty-five".

Divisors: 1 5 13 65 593 613 2965 3065 7709 7969 38545 39845 363509 1817545 4725617 23628085