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1072513494 = 233132815437
BaseRepresentation
bin111111111011010…
…100000111010110
32202202010022221000
4333323110013112
54144030412434
6254231404130
735402133333
oct7773240726
92682108830
101072513494
11500451298
1225b223646
13141278a90
14a262598a
1564256b99
hex3fed41d6

1072513494 has 64 divisors (see below), whose sum is σ = 2576306880. Its totient is φ = 328769280.

The previous prime is 1072513489. The next prime is 1072513511. The reversal of 1072513494 is 4943152701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 194544 + ... + 199980.

It is an arithmetic number, because the mean of its divisors is an integer number (40254795).

Almost surely, 21072513494 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1072513494, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1288153440).

1072513494 is an abundant number, since it is smaller than the sum of its proper divisors (1503793386).

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

1072513494 is a wasteful number, since it uses less digits than its factorization.

1072513494 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5742 (or 5736 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1072513494 is about 32749.2518082475. The cubic root of 1072513494 is about 1023.6093754166.

The spelling of 1072513494 in words is "one billion, seventy-two million, five hundred thirteen thousand, four hundred ninety-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 281 351 562 702 843 1686 2529 3653 5058 5437 7306 7587 10874 10959 15174 16311 21918 32622 32877 48933 65754 70681 97866 98631 141362 146799 197262 212043 293598 424086 636129 1272258 1527797 1908387 3055594 3816774 4583391 9166782 13750173 19861361 27500346 39722722 41250519 59584083 82501038 119168166 178752249 357504498 536256747 1072513494