Search a number
-
+
23666632 = 23112231063
BaseRepresentation
bin101101001000…
…1111111001000
31122112101111221
41122101333020
522024313012
62203131424
7405106633
oct132217710
948471457
1023666632
11123a5100
127b13b74
134b98332
143200c1a
152127507
hex1691fc8

23666632 has 48 divisors (see below), whose sum is σ = 50944320. Its totient is φ = 10280160.

The previous prime is 23666627. The next prime is 23666677.

23666632 is nontrivially palindromic in base 10.

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 11 ways as a sum of consecutive naturals, for example, 21733 + ... + 22795.

It is an arithmetic number, because the mean of its divisors is an integer number (1061340).

Almost surely, 223666632 is an apocalyptic number.

23666632 is a gapful number since it is divisible by the number (22) 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 23666632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25472160).

23666632 is an abundant number, since it is smaller than the sum of its proper divisors (27277688).

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

23666632 is a wasteful number, since it uses less digits than its factorization.

23666632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114 (or 1099 counting only the distinct ones).

The product of its digits is 46656, while the sum is 34.

The square root of 23666632 is about 4864.8362767929. The cubic root of 23666632 is about 287.1081269750.

It can be divided in two parts, 2366 and 6632, that added together give a palindrome (8998).

The spelling of 23666632 in words is "twenty-three million, six hundred sixty-six thousand, six hundred thirty-two".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 121 184 242 253 484 506 968 1012 1063 2024 2126 2783 4252 5566 8504 11132 11693 22264 23386 24449 46772 48898 93544 97796 128623 195592 257246 268939 514492 537878 1028984 1075756 2151512 2958329 5916658 11833316 23666632