Search a number
-
+
23415860 = 22513113797
BaseRepresentation
bin101100101010…
…0110000110100
31122001122112002
41121110300310
521443301420
62153514432
7403013546
oct131246064
948048462
1023415860
1112243756
127a12a18
134b0b150
143177696
1520c8075
hex1654c34

23415860 has 48 divisors (see below), whose sum is σ = 53491536. Its totient is φ = 8558592.

The previous prime is 23415859. The next prime is 23415869. The reversal of 23415860 is 6851432.

It can be written as a sum of positive squares in 8 ways, for example, as 7463824 + 15952036 = 2732^2 + 3994^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23415869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28982 + ... + 29778.

It is an arithmetic number, because the mean of its divisors is an integer number (1114407).

Almost surely, 223415860 is an apocalyptic number.

23415860 is a gapful number since it is divisible by the number (20) 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 23415860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26745768).

23415860 is an abundant number, since it is smaller than the sum of its proper divisors (30075676).

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

23415860 is a wasteful number, since it uses less digits than its factorization.

23415860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 23415860 is about 4838.9936970407. The cubic root of 23415860 is about 286.0904566595.

The spelling of 23415860 in words is "twenty-three million, four hundred fifteen thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 113 130 226 260 452 565 797 1130 1469 1594 2260 2938 3188 3985 5876 7345 7970 10361 14690 15940 20722 29380 41444 51805 90061 103610 180122 207220 360244 450305 900610 1170793 1801220 2341586 4683172 5853965 11707930 23415860