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806330112 = 28371271181
BaseRepresentation
bin110000000011111…
…001111100000000
32002012020210222020
4300003321330000
53122410030422
6212002241440
725660456440
oct6003717400
92065223866
10806330112
11384174825
121a6056280
13cb08b213
1479136120
154abc795c
hex300f9f00

806330112 has 144 divisors (see below), whose sum is σ = 2473992192. Its totient is φ = 228372480.

The previous prime is 806330101. The next prime is 806330153. The reversal of 806330112 is 211033608.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 682162 + ... + 683342.

Almost surely, 2806330112 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 806330112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1236996096).

806330112 is an abundant number, since it is smaller than the sum of its proper divisors (1667662080).

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

806330112 is a wasteful number, since it uses less digits than its factorization.

806330112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 806330112 is about 28395.9523876203. The cubic root of 806330112 is about 930.7598184096.

The spelling of 806330112 in words is "eight hundred six million, three hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 127 128 168 192 224 254 256 336 381 384 448 508 672 762 768 889 896 1016 1181 1344 1524 1778 1792 2032 2362 2667 2688 3048 3543 3556 4064 4724 5334 5376 6096 7086 7112 8128 8267 9448 10668 12192 14172 14224 16256 16534 18896 21336 24384 24801 28344 28448 32512 33068 37792 42672 48768 49602 56688 56896 66136 75584 85344 97536 99204 113376 113792 132272 149987 151168 170688 198408 226752 227584 264544 299974 302336 341376 396816 449961 453504 529088 599948 682752 793632 899922 907008 1049909 1058176 1199896 1587264 1799844 2099818 2116352 2399792 3149727 3174528 3599688 4199636 4799584 6299454 6349056 7199376 8399272 9599168 12598908 14398752 16798544 19198336 25197816 28797504 33597088 38396672 50395632 57595008 67194176 100791264 115190016 134388352 201582528 268776704 403165056 806330112