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812005680 = 243517199021
BaseRepresentation
bin110000011001100…
…011100100110000
32002120221011101110
4300121203210300
53130333140210
6212324033320
726056635333
oct6031434460
92076834343
10812005680
113873a0982
121a7b32840
13cc2c7645
1479bb261a
154b449420
hex30663930

812005680 has 80 divisors (see below), whose sum is σ = 2665302624. Its totient is φ = 203796480.

The previous prime is 812005669. The next prime is 812005681. The reversal of 812005680 is 86500218.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (812005681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95431 + ... + 103590.

Almost surely, 2812005680 is an apocalyptic number.

812005680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

812005680 is an abundant number, since it is smaller than the sum of its proper divisors (1853296944).

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

812005680 is a wasteful number, since it uses less digits than its factorization.

812005680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199054 (or 199048 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 812005680 is about 28495.7133618374. The cubic root of 812005680 is about 932.9385144130.

Adding to 812005680 its reverse (86500218), we get a palindrome (898505898).

The spelling of 812005680 in words is "eight hundred twelve million, five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 4080 199021 398042 597063 796084 995105 1194126 1592168 1990210 2388252 2985315 3184336 3383357 3980420 4776504 5970630 6766714 7960840 9553008 10150071 11941260 13533428 15921680 16916785 20300142 23882520 27066856 33833570 40600284 47765040 50750355 54133712 67667140 81200568 101500710 135334280 162401136 203001420 270668560 406002840 812005680