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1330087836 = 2237111499661
BaseRepresentation
bin100111101000111…
…1000011110011100
310102200210110111110
41033101320132130
510211000302321
6335552222020
744650363050
oct11721703634
93380713443
101330087836
11622888750
1231153a910
13182740c2c
14c8913c60
157bb85176
hex4f47879c

1330087836 has 96 divisors (see below), whose sum is σ = 3895718400. Its totient is φ = 343123200.

The previous prime is 1330087817. The next prime is 1330087867. The reversal of 1330087836 is 6387800331.

It is a junction number, because it is equal to n+sod(n) for n = 1330087794 and 1330087803.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132846 + ... + 142506.

It is an arithmetic number, because the mean of its divisors is an integer number (40580400).

Almost surely, 21330087836 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 1330087836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1947859200).

1330087836 is an abundant number, since it is smaller than the sum of its proper divisors (2565630564).

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

1330087836 is a wasteful number, since it uses less digits than its factorization.

1330087836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9835 (or 9833 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 1330087836 is about 36470.3692879576. The cubic root of 1330087836 is about 1099.7486577259.

The spelling of 1330087836 in words is "one billion, three hundred thirty million, eighty-seven thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 149 154 231 298 308 447 462 596 894 924 1043 1639 1788 2086 3129 3278 4172 4917 6258 6556 9661 9834 11473 12516 19322 19668 22946 28983 34419 38644 45892 57966 67627 68838 106271 115932 135254 137676 202881 212542 270508 318813 405762 425084 637626 743897 811524 1275252 1439489 1487794 2231691 2878978 2975588 4318467 4463382 5757956 8636934 8926764 10076423 15834379 17273868 20152846 30229269 31668758 40305692 47503137 60458538 63337516 95006274 110840653 120917076 190012548 221681306 332521959 443362612 665043918 1330087836