Search a number
-
+
23681625 = 353115741
BaseRepresentation
bin101101001010…
…1101001011001
31122120011002020
41122111221121
522030303000
62203325053
7405201432
oct132255131
948504066
1023681625
11124053a0
127b20789
134ba20c6
143206489
15212bba0
hex1695a59

23681625 has 32 divisors (see below), whose sum is σ = 42996096. Its totient is φ = 11480000.

The previous prime is 23681611. The next prime is 23681633. The reversal of 23681625 is 52618632.

It is not a de Polignac number, because 23681625 - 212 = 23677529 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

Its product of digits (17280) is a multiple of the sum of its prime divisors (5760).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1255 + ... + 6995.

It is an arithmetic number, because the mean of its divisors is an integer number (1343628).

Almost surely, 223681625 is an apocalyptic number.

23681625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

23681625 is a deficient number, since it is larger than the sum of its proper divisors (19314471).

23681625 is a wasteful number, since it uses less digits than its factorization.

23681625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5770 (or 5760 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 23681625 is about 4866.3769890957. The cubic root of 23681625 is about 287.1687426055.

It can be divided in two parts, 2368 and 1625, that added together give a palindrome (3993).

The spelling of 23681625 in words is "twenty-three million, six hundred eighty-one thousand, six hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 55 75 125 165 275 375 825 1375 4125 5741 17223 28705 63151 86115 143525 189453 315755 430575 717625 947265 1578775 2152875 4736325 7893875 23681625