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813150990 = 232519745863
BaseRepresentation
bin110000011101111…
…011001100001110
32002200002100110100
4300131323030032
53131131312430
6212404351530
726102445411
oct6035731416
92080070410
10813150990
11388003413
121a83a55a6
13cc608a42
1479dcdb78
154b5c3960
hex3077b30e

813150990 has 48 divisors (see below), whose sum is σ = 2124970848. Its totient is φ = 215734848.

The previous prime is 813150983. The next prime is 813151013. The reversal of 813150990 is 99051318.

It is a happy number.

813150990 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×8131509902 = 1322429065075960200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5202 + ... + 40661.

It is an arithmetic number, because the mean of its divisors is an integer number (44270226).

Almost surely, 2813150990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 813150990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062485424).

813150990 is an abundant number, since it is smaller than the sum of its proper divisors (1311819858).

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

813150990 is a wasteful number, since it uses less digits than its factorization.

813150990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46073 (or 46070 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The square root of 813150990 is about 28515.8024610916. The cubic root of 813150990 is about 933.3769357464.

The spelling of 813150990 in words is "eight hundred thirteen million, one hundred fifty thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 197 394 591 985 1182 1773 1970 2955 3546 5910 8865 17730 45863 91726 137589 229315 275178 412767 458630 687945 825534 1375890 2063835 4127670 9035011 18070022 27105033 45175055 54210066 81315099 90350110 135525165 162630198 271050330 406575495 813150990