Search a number
-
+
5105724 = 22313231423
BaseRepresentation
bin10011011110100000111100
3100121101201220
4103132200330
52301340344
6301233340
761253331
oct23364074
910541656
105105724
112978008
121862850
131099c50
1496c988
156acc19
hex4de83c

5105724 has 48 divisors (see below), whose sum is σ = 13396992. Its totient is φ = 1501632.

The previous prime is 5105707. The next prime is 5105753. The reversal of 5105724 is 4275015.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 5105694 and 5105703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2877 + ... + 4299.

It is an arithmetic number, because the mean of its divisors is an integer number (279104).

Almost surely, 25105724 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5105724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6698496).

5105724 is an abundant number, since it is smaller than the sum of its proper divisors (8291268).

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

5105724 is a wasteful number, since it uses less digits than its factorization.

5105724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1466 (or 1464 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 5105724 is about 2259.5849176342. The cubic root of 5105724 is about 172.1944348894.

The spelling of 5105724 in words is "five million, one hundred five thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 78 92 138 156 276 299 598 897 1196 1423 1794 2846 3588 4269 5692 8538 17076 18499 32729 36998 55497 65458 73996 98187 110994 130916 196374 221988 392748 425477 850954 1276431 1701908 2552862 5105724