Search a number
-
+
23685636 = 223131491019
BaseRepresentation
bin101101001011…
…0101000000100
31122120100120210
41122112220010
522030420021
62203355420
7405216222
oct132265004
948510523
1023685636
1112408407
127b22b70
134ba3b90
143207b12
15212ce76
hex1696a04

23685636 has 48 divisors (see below), whose sum is σ = 59976000. Its totient is φ = 7231872.

The previous prime is 23685619. The next prime is 23685637. The reversal of 23685636 is 63658632.

It is a happy number.

It is a super-2 number, since 2×236856362 = 1122018705448992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 23685594 and 23685603.

It is not an unprimeable number, because it can be changed into a prime (23685637) 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, 22735 + ... + 23753.

It is an arithmetic number, because the mean of its divisors is an integer number (1249500).

Almost surely, 223685636 is an apocalyptic number.

23685636 is a gapful number since it is divisible by the number (26) 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 23685636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29988000).

23685636 is an abundant number, since it is smaller than the sum of its proper divisors (36290364).

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

23685636 is a wasteful number, since it uses less digits than its factorization.

23685636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188 (or 1186 counting only the distinct ones).

The product of its digits is 155520, while the sum is 39.

The square root of 23685636 is about 4866.7890852183. The cubic root of 23685636 is about 287.1849544548.

The spelling of 23685636 in words is "twenty-three million, six hundred eighty-five thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 149 156 298 447 596 894 1019 1788 1937 2038 3057 3874 4076 5811 6114 7748 11622 12228 13247 23244 26494 39741 52988 79482 151831 158964 303662 455493 607324 910986 1821972 1973803 3947606 5921409 7895212 11842818 23685636