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815340820 = 22576179439
BaseRepresentation
bin110000100110010…
…001110100010100
32002211012121100011
4300212101310110
53132211401240
6212523330004
726130165640
oct6046216424
92084177304
10815340820
11389269698
121a9080904
13ccbc46b8
147a3ddc20
154b8a76ea
hex30991d14

815340820 has 48 divisors (see below), whose sum is σ = 1960197120. Its totient is φ = 279062784.

The previous prime is 815340809. The next prime is 815340821. The reversal of 815340820 is 28043518.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (815340821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81661 + ... + 91099.

It is an arithmetic number, because the mean of its divisors is an integer number (40837440).

Almost surely, 2815340820 is an apocalyptic number.

It is an amenable number.

815340820 is an abundant number, since it is smaller than the sum of its proper divisors (1144856300).

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

815340820 is a wasteful number, since it uses less digits than its factorization.

815340820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10072 (or 10070 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 815340820 is about 28554.1734252631. The cubic root of 815340820 is about 934.2140516058.

The spelling of 815340820 in words is "eight hundred fifteen million, three hundred forty thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 617 1234 2468 3085 4319 6170 8638 9439 12340 17276 18878 21595 37756 43190 47195 66073 86380 94390 132146 188780 264292 330365 660730 1321460 5823863 11647726 23295452 29119315 40767041 58238630 81534082 116477260 163068164 203835205 407670410 815340820