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815052260 = 2251119918617
BaseRepresentation
bin110000100101001…
…011010111100100
32002210122221111202
4300211023113210
53132123133020
6212513222032
726124554441
oct6045132744
92083587452
10815052260
11389091910
121a8b61918
13ccb23259
147a3669c8
154b84be75
hex3094b5e4

815052260 has 48 divisors (see below), whose sum is σ = 1876694400. Its totient is φ = 294877440.

The previous prime is 815052257. The next prime is 815052269. The reversal of 815052260 is 62250518.

It is a super-2 number, since 2×8150522602 = 1328620373062215200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (815052269) 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, 34472 + ... + 53088.

It is an arithmetic number, because the mean of its divisors is an integer number (39097800).

Almost surely, 2815052260 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 815052260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938347200).

815052260 is an abundant number, since it is smaller than the sum of its proper divisors (1061642140).

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

815052260 is a wasteful number, since it uses less digits than its factorization.

815052260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18836 (or 18834 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 815052260 is about 28549.1201265468. The cubic root of 815052260 is about 934.1038283271.

The spelling of 815052260 in words is "eight hundred fifteen million, fifty-two thousand, two hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 199 220 398 796 995 1990 2189 3980 4378 8756 10945 18617 21890 37234 43780 74468 93085 186170 204787 372340 409574 819148 1023935 2047870 3704783 4095740 7409566 14819132 18523915 37047830 40752613 74095660 81505226 163010452 203763065 407526130 815052260