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5310412420 = 2253710965837
BaseRepresentation
bin1001111001000011…
…00111011010000100
3111201002110220100111
410330201213122010
541333431144140
62234540322404
7245411521645
oct47441473204
914632426314
105310412420
1122856534a5
121042543404
13668263b91
143853c56cc
152113207ea
hex13c867684

5310412420 has 48 divisors (see below), whose sum is σ = 11558519280. Its totient is φ = 2047762944.

The previous prime is 5310412403. The next prime is 5310412421. The reversal of 5310412420 is 242140135.

It can be written as a sum of positive squares in 8 ways, for example, as 10863616 + 5299548804 = 3296^2 + 72798^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5310412391 and 5310412400.

It is not an unprimeable number, because it can be changed into a prime (5310412421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47742 + ... + 113578.

It is an arithmetic number, because the mean of its divisors is an integer number (240802485).

Almost surely, 25310412420 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 5310412420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5779259640).

5310412420 is an abundant number, since it is smaller than the sum of its proper divisors (6248106860).

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

5310412420 is a wasteful number, since it uses less digits than its factorization.

5310412420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65992 (or 65990 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 5310412420 is about 72872.5765977847. The cubic root of 5310412420 is about 1744.6544275636.

Adding to 5310412420 its reverse (242140135), we get a palindrome (5552552555).

The spelling of 5310412420 in words is "five billion, three hundred ten million, four hundred twelve thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 37 74 109 148 185 218 370 436 545 740 1090 2180 4033 8066 16132 20165 40330 65837 80660 131674 263348 329185 658370 1316740 2435969 4871938 7176233 9743876 12179845 14352466 24359690 28704932 35881165 48719380 71762330 143524660 265520621 531041242 1062082484 1327603105 2655206210 5310412420