Search a number
-
+
814915010 = 257133724203
BaseRepresentation
bin110000100100101…
…001110111000010
32002210101222020102
4300210221313002
53132104240020
6212510242402
726123443340
oct6044516702
92083358212
10814915010
11388aa8788
121a8ab6402
13ccaa5940
147a32c990
154b821475
hex30929dc2

814915010 has 64 divisors (see below), whose sum is σ = 1854220032. Its totient is φ = 250926336.

The previous prime is 814914983. The next prime is 814915039. The reversal of 814915010 is 10519418.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21569 + ... + 45771.

It is an arithmetic number, because the mean of its divisors is an integer number (28972188).

Almost surely, 2814915010 is an apocalyptic number.

814915010 is an abundant number, since it is smaller than the sum of its proper divisors (1039305022).

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

814915010 is a wasteful number, since it uses less digits than its factorization.

814915010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24267.

The product of its (nonzero) digits is 1440, while the sum is 29.

The square root of 814915010 is about 28546.7162735051. The cubic root of 814915010 is about 934.0513928561.

The spelling of 814915010 in words is "eight hundred fourteen million, nine hundred fifteen thousand, ten".

Divisors: 1 2 5 7 10 13 14 26 35 37 65 70 74 91 130 182 185 259 370 455 481 518 910 962 1295 2405 2590 3367 4810 6734 16835 24203 33670 48406 121015 169421 242030 314639 338842 629278 847105 895511 1573195 1694210 1791022 2202473 3146390 4404946 4477555 6268577 8955110 11012365 11641643 12537154 22024730 23283286 31342885 58208215 62685770 81491501 116416430 162983002 407457505 814915010