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813213390 = 235113179493
BaseRepresentation
bin110000011110001…
…010011011001110
32002200012112001110
4300132022123032
53131140312030
6212405552450
726103125343
oct6036123316
92080175043
10813213390
11388046290
121a8415726
13cc62b272
147a0087ca
154b5d71b0
hex3078a6ce

813213390 has 64 divisors (see below), whose sum is σ = 2197850112. Its totient is φ = 190780800.

The previous prime is 813213367. The next prime is 813213391. The reversal of 813213390 is 93312318.

813213390 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×8132133902 = 1322632035350584200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813213391) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29517 + ... + 49976.

It is an arithmetic number, because the mean of its divisors is an integer number (34341408).

Almost surely, 2813213390 is an apocalyptic number.

813213390 is an abundant number, since it is smaller than the sum of its proper divisors (1384636722).

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

813213390 is a wasteful number, since it uses less digits than its factorization.

813213390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79545.

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 813213390 is about 28516.8965702792. The cubic root of 813213390 is about 933.4008104560.

The spelling of 813213390 in words is "eight hundred thirteen million, two hundred thirteen thousand, three hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 31 33 55 62 66 93 110 155 165 186 310 330 341 465 682 930 1023 1705 2046 3410 5115 10230 79493 158986 238479 397465 476958 794930 874423 1192395 1748846 2384790 2464283 2623269 4372115 4928566 5246538 7392849 8744230 12321415 13116345 14785698 24642830 26232690 27107113 36964245 54214226 73928490 81321339 135535565 162642678 271071130 406606695 813213390