Search a number
-
+
5136810 = 235761401
BaseRepresentation
bin10011100110000110101010
3100122222101020
4103212012222
52303334220
6302033310
761443060
oct23460652
910588336
105136810
1129993a8
121878836
1310ab143
1497a030
156b7040
hex4e61aa

5136810 has 64 divisors (see below), whose sum is σ = 14356224. Its totient is φ = 1152000.

The previous prime is 5136809. The next prime is 5136811. The reversal of 5136810 is 186315.

It is an interprime number because it is at equal distance from previous prime (5136809) and next prime (5136811).

It is a super-2 number, since 2×51368102 = 52773633952200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5136811) 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 31 ways as a sum of consecutive naturals, for example, 12610 + ... + 13010.

It is an arithmetic number, because the mean of its divisors is an integer number (224316).

Almost surely, 25136810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5136810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7178112).

5136810 is an abundant number, since it is smaller than the sum of its proper divisors (9219414).

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

5136810 is a wasteful number, since it uses less digits than its factorization.

5136810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479.

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 5136810 is about 2266.4531762205. The cubic root of 5136810 is about 172.5431943921.

The spelling of 5136810 in words is "five million, one hundred thirty-six thousand, eight hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 61 70 105 122 183 210 305 366 401 427 610 802 854 915 1203 1281 1830 2005 2135 2406 2562 2807 4010 4270 5614 6015 6405 8421 12030 12810 14035 16842 24461 28070 42105 48922 73383 84210 122305 146766 171227 244610 342454 366915 513681 733830 856135 1027362 1712270 2568405 5136810