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812105680 = 24513177491
BaseRepresentation
bin110000011001111…
…011111111010000
32002121010020120011
4300121323333100
53130344340210
6212330124304
726060533021
oct6031737720
92077106504
10812105680
1138745a021
121a7b80694
13cc331009
1479bdac48
154b468d8a
hex3067bfd0

812105680 has 40 divisors (see below), whose sum is σ = 1902583584. Its totient is φ = 322358400.

The previous prime is 812105669. The next prime is 812105683. The reversal of 812105680 is 86501218.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (812105683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28266 + ... + 49225.

Almost surely, 2812105680 is an apocalyptic number.

812105680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

812105680 is an abundant number, since it is smaller than the sum of its proper divisors (1090477904).

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

812105680 is a wasteful number, since it uses less digits than its factorization.

812105680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77635 (or 77629 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 31.

The square root of 812105680 is about 28497.4679576976. The cubic root of 812105680 is about 932.9768105417.

Adding to 812105680 its reverse (86501218), we get a palindrome (898606898).

The spelling of 812105680 in words is "eight hundred twelve million, one hundred five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 131 262 524 655 1048 1310 2096 2620 5240 10480 77491 154982 309964 387455 619928 774910 1239856 1549820 3099640 6199280 10151321 20302642 40605284 50756605 81210568 101513210 162421136 203026420 406052840 812105680