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814426060 = 22573227523
BaseRepresentation
bin110000100010110…
…010011111001100
32002202111010112011
4300202302133030
53131443113220
6212451551004
726116336000
oct6042623714
92082433464
10814426060
113887a4398
121a88bb464
13cc964216
147a242700
154b77665a
hex308b27cc

814426060 has 96 divisors (see below), whose sum is σ = 2007129600. Its totient is φ = 277470144.

The previous prime is 814426049. The next prime is 814426073. The reversal of 814426060 is 60624418.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1556959 + ... + 1557481.

It is an arithmetic number, because the mean of its divisors is an integer number (20907600).

Almost surely, 2814426060 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 814426060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003564800).

814426060 is an abundant number, since it is smaller than the sum of its proper divisors (1192703540).

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

814426060 is a wasteful number, since it uses less digits than its factorization.

814426060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 814426060 is about 28538.1509562200. The cubic root of 814426060 is about 933.8645448231.

The spelling of 814426060 in words is "eight hundred fourteen million, four hundred twenty-six thousand, sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 227 245 343 454 490 523 686 908 980 1046 1135 1372 1589 1715 2092 2270 2615 3178 3430 3661 4540 5230 6356 6860 7322 7945 10460 11123 14644 15890 18305 22246 25627 31780 36610 44492 51254 55615 73220 77861 102508 111230 118721 128135 155722 179389 222460 237442 256270 311444 358778 389305 474884 512540 593605 717556 778610 831047 896945 1187210 1557220 1662094 1793890 2374420 3324188 3587780 4155235 5817329 8310470 11634658 16620940 23269316 29086645 40721303 58173290 81442606 116346580 162885212 203606515 407213030 814426060