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23685857 = 13310781
BaseRepresentation
bin101101001011…
…0101011100001
31122120100212222
41122112223201
522030421412
62203400425
7405216656
oct132265341
948510788
1023685857
1112408598
127b23115
134ba4000
143207c2d
15212d072
hex1696ae1

23685857 has 8 divisors (see below), whose sum is σ = 25661160. Its totient is φ = 21861840.

The previous prime is 23685839. The next prime is 23685877. The reversal of 23685857 is 75858632.

It can be written as a sum of positive squares in 4 ways, for example, as 9728161 + 13957696 = 3119^2 + 3736^2 .

It is not a de Polignac number, because 23685857 - 210 = 23684833 is a prime.

It is a super-2 number, since 2×236858572 = 1122039643648898, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23685877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3194 + ... + 7587.

It is an arithmetic number, because the mean of its divisors is an integer number (3207645).

Almost surely, 223685857 is an apocalyptic number.

It is an amenable number.

23685857 is a deficient number, since it is larger than the sum of its proper divisors (1975303).

23685857 is an equidigital number, since it uses as much as digits as its factorization.

23685857 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10820 (or 10794 counting only the distinct ones).

The product of its digits is 403200, while the sum is 44.

The square root of 23685857 is about 4866.8117900737. The cubic root of 23685857 is about 287.1858476498.

It can be divided in two parts, 23685 and 857, that added together give a palindrome (24542).

The spelling of 23685857 in words is "twenty-three million, six hundred eighty-five thousand, eight hundred fifty-seven".

Divisors: 1 13 169 2197 10781 140153 1821989 23685857