Search a number
-
+
23563631 = 713298929
BaseRepresentation
bin101100111100…
…0110101101111
31122100011020002
41121320311233
522013014011
62201014515
7404200430
oct131706557
948304202
1023563631
1112334783
127a8443b
134b604a0
1431b5487
152106c3b
hex1678d6f

23563631 has 16 divisors (see below), whose sum is σ = 30004800. Its totient is φ = 17998848.

The previous prime is 23563609. The next prime is 23563633. The reversal of 23563631 is 13636532.

It is a happy number.

It is not a de Polignac number, because 23563631 - 210 = 23562607 is a prime.

It is a super-2 number, since 2×235636312 = 1110489411808322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 23563594 and 23563603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23563633) 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, 1826 + ... + 7103.

It is an arithmetic number, because the mean of its divisors is an integer number (1875300).

Almost surely, 223563631 is an apocalyptic number.

23563631 is a deficient number, since it is larger than the sum of its proper divisors (6441169).

23563631 is a wasteful number, since it uses less digits than its factorization.

23563631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8978.

The product of its digits is 9720, while the sum is 29.

The square root of 23563631 is about 4854.2384572660. The cubic root of 23563631 is about 286.6910076381.

The spelling of 23563631 in words is "twenty-three million, five hundred sixty-three thousand, six hundred thirty-one".

Divisors: 1 7 13 29 91 203 377 2639 8929 62503 116077 258941 812539 1812587 3366233 23563631