Search a number
-
+
812000160 = 25335187963
BaseRepresentation
bin110000011001100…
…010001110100000
32002120220212211000
4300121202032200
53130333001120
6212323552000
726056613256
oct6031421640
92076825730
10812000160
11387397814
121a7b2b600
13cc2c4c8a
1479bb05d6
154b447990
hex306623a0

812000160 has 96 divisors (see below), whose sum is σ = 2842015680. Its totient is φ = 216532224.

The previous prime is 812000159. The next prime is 812000171. The reversal of 812000160 is 61000218.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89662 + ... + 98301.

It is an arithmetic number, because the mean of its divisors is an integer number (29604330).

Almost surely, 2812000160 is an apocalyptic number.

812000160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

812000160 is an abundant number, since it is smaller than the sum of its proper divisors (2030015520).

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

812000160 is a wasteful number, since it uses less digits than its factorization.

812000160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187987 (or 187973 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 812000160 is about 28495.6165049995. The cubic root of 812000160 is about 932.9364003752.

Adding to 812000160 its reverse (61000218), we get a palindrome (873000378).

The spelling of 812000160 in words is "eight hundred twelve million, one hundred sixty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 187963 375926 563889 751852 939815 1127778 1503704 1691667 1879630 2255556 2819445 3007408 3383334 3759260 4511112 5075001 5638890 6014816 6766668 7518520 8458335 9022224 10150002 11277780 13533336 15037040 16916670 18044448 20300004 22555560 25375005 27066672 30074080 33833340 40600008 45111120 50750010 54133344 67666680 81200016 90222240 101500020 135333360 162400032 203000040 270666720 406000080 812000160