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1313026416 = 243313172809
BaseRepresentation
bin100111001000011…
…0011000101110000
310101111200122122000
41032100303011300
510142113321131
6334142414000
744352353232
oct11620630560
93344618560
101313026416
116141951a9
12307891300
1317c049210
14c6552252
157a414ce6
hex4e433170

1313026416 has 240 divisors, whose sum is σ = 4316911200. Its totient is φ = 379772928.

The previous prime is 1313026381. The next prime is 1313026423. The reversal of 1313026416 is 6146203131.

1313026416 is a `hidden beast` number, since 1 + 3 + 13 + 0 + 2 + 641 + 6 = 666.

It is a super-2 number, since 2×13130264162 = 3448076738227610112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 1313026416.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1622620 + ... + 1623428.

It is an arithmetic number, because the mean of its divisors is an integer number (17987130).

Almost surely, 21313026416 is an apocalyptic number.

1313026416 is a gapful number since it is divisible by the number (16) 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 1313026416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2158455600).

1313026416 is an abundant number, since it is smaller than the sum of its proper divisors (3003884784).

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

1313026416 is a wasteful number, since it uses less digits than its factorization.

1313026416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1313026416 is about 36235.7063681667. The cubic root of 1313026416 is about 1095.0261431176.

Adding to 1313026416 its reverse (6146203131), we get a palindrome (7459229547).

The spelling of 1313026416 in words is "one billion, three hundred thirteen million, twenty-six thousand, four hundred sixteen".