Search a number
-
+
23113580 = 2257295693
BaseRepresentation
bin101100000101…
…0111101101100
31121111021212112
41120022331230
521404113310
62143223152
7400314350
oct130127554
947437775
1023113580
1112057636
1278a7ab8
134a33699
1430d9460
152068705
hex160af6c

23113580 has 48 divisors (see below), whose sum is σ = 57395520. Its totient is φ = 7650048.

The previous prime is 23113577. The next prime is 23113589. The reversal of 23113580 is 8531132.

It is not an unprimeable number, because it can be changed into a prime (23113589) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1214 + ... + 6906.

It is an arithmetic number, because the mean of its divisors is an integer number (1195740).

Almost surely, 223113580 is an apocalyptic number.

23113580 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 23113580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28697760).

23113580 is an abundant number, since it is smaller than the sum of its proper divisors (34281940).

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

23113580 is a wasteful number, since it uses less digits than its factorization.

23113580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5738 (or 5736 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 23113580 is about 4807.6584737271. The cubic root of 23113580 is about 284.8540547516.

The spelling of 23113580 in words is "twenty-three million, one hundred thirteen thousand, five hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 290 406 580 812 1015 2030 4060 5693 11386 22772 28465 39851 56930 79702 113860 159404 165097 199255 330194 398510 660388 797020 825485 1155679 1650970 2311358 3301940 4622716 5778395 11556790 23113580