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1313031040 = 27517231229
BaseRepresentation
bin100111001000011…
…0100001110000000
310101111200212222021
41032100310032000
510142113443130
6334142451224
744352402556
oct11620641600
93344625867
101313031040
11614198722
12307893b14
1317c04b359
14c6553bd6
157a41637a
hex4e434380

1313031040 has 192 divisors, whose sum is σ = 3457065600. Its totient is φ = 476282880.

The previous prime is 1313031037. The next prime is 1313031053. The reversal of 1313031040 is 401303131.

Adding to 1313031040 its reverse (401303131), we get a palindrome (1714334171).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5733646 + ... + 5733874.

It is an arithmetic number, because the mean of its divisors is an integer number (18005550).

Almost surely, 21313031040 is an apocalyptic number.

1313031040 is a gapful number since it is divisible by the number (10) 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 1313031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1728532800).

1313031040 is an abundant number, since it is smaller than the sum of its proper divisors (2144034560).

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

1313031040 is a wasteful number, since it uses less digits than its factorization.

1313031040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 1313031040 is about 36235.7701725795. The cubic root of 1313031040 is about 1095.0274285436.

The spelling of 1313031040 in words is "one billion, three hundred thirteen million, thirty-one thousand, forty".