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813103596 = 223419313003
BaseRepresentation
bin110000011101101…
…111100111101100
32002122222221110000
4300131233213230
53131123303341
6212403344300
726102160264
oct6035574754
92078887400
10813103596
11387a80848
121a8382090
13cc5c02b6
1479dba7a4
154b5b48b6
hex3076f9ec

813103596 has 60 divisors (see below), whose sum is σ = 2136791272. Its totient is φ = 269609472.

The previous prime is 813103589. The next prime is 813103597. The reversal of 813103596 is 695301318.

It is a happy number.

It is a super-2 number, since 2×8131035962 = 1322274915656262432, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 813103596.

It is not an unprimeable number, because it can be changed into a prime (813103597) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 56031 + ... + 69033.

Almost surely, 2813103596 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 813103596, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1068395636).

813103596 is an abundant number, since it is smaller than the sum of its proper divisors (1323687676).

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

813103596 is a wasteful number, since it uses less digits than its factorization.

813103596 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13212 (or 13201 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 813103596 is about 28514.9714360720. The cubic root of 813103596 is about 933.3588016293.

The spelling of 813103596 in words is "eight hundred thirteen million, one hundred three thousand, five hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 193 324 386 579 772 1158 1737 2316 3474 5211 6948 10422 13003 15633 20844 26006 31266 39009 52012 62532 78018 117027 156036 234054 351081 468108 702162 1053243 1404324 2106486 2509579 4212972 5019158 7528737 10038316 15057474 22586211 30114948 45172422 67758633 90344844 135517266 203275899 271034532 406551798 813103596