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810746112 = 28311195051
BaseRepresentation
bin110000010100110…
…000000100000000
32002111120011120210
4300110300010000
53130022333422
6212241034120
726043141201
oct6024600400
92074504523
10810746112
11386710610
121a7625940
13cbc76237
14799655a8
154b29b10c
hex30530100

810746112 has 144 divisors (see below), whose sum is σ = 2478309120. Its totient is φ = 232704000.

The previous prime is 810746107. The next prime is 810746117. The reversal of 810746112 is 211647018.

It is an interprime number because it is at equal distance from previous prime (810746107) and next prime (810746117).

It is a self number, because there is not a number n which added to its sum of digits gives 810746112.

It is not an unprimeable number, because it can be changed into a prime (810746117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157987 + ... + 163037.

It is an arithmetic number, because the mean of its divisors is an integer number (17210480).

Almost surely, 2810746112 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 810746112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239154560).

810746112 is an abundant number, since it is smaller than the sum of its proper divisors (1667563008).

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

810746112 is a wasteful number, since it uses less digits than its factorization.

810746112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5100 (or 5086 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 810746112 is about 28473.6037761292. The cubic root of 810746112 is about 932.4558791929.

The spelling of 810746112 in words is "eight hundred ten million, seven hundred forty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 64 66 76 88 96 114 128 132 152 176 192 209 228 256 264 304 352 384 418 456 528 608 627 704 768 836 912 1056 1216 1254 1408 1672 1824 2112 2432 2508 2816 3344 3648 4224 4864 5016 5051 6688 7296 8448 10032 10102 13376 14592 15153 20064 20204 26752 30306 40128 40408 53504 55561 60612 80256 80816 95969 111122 121224 160512 161632 166683 191938 222244 242448 287907 323264 333366 383876 444488 484896 575814 646528 666732 767752 888976 969792 1055659 1151628 1293056 1333464 1535504 1777952 1939584 2111318 2303256 2666928 3071008 3166977 3555904 3879168 4222636 4606512 5333856 6142016 6333954 7111808 8445272 9213024 10667712 12284032 12667908 14223616 16890544 18426048 21335424 24568064 25335816 33781088 36852096 42670848 50671632 67562176 73704192 101343264 135124352 202686528 270248704 405373056 810746112