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812965080 = 233531832633
BaseRepresentation
bin110000011101001…
…101110011011000
32002122201220102210
4300131031303120
53131104340310
6212400355120
726101042404
oct6035156330
92078656383
10812965080
11387996774
121a8315aa0
13cc572235
1479d82104
154b588820
hex3074dcd8

812965080 has 128 divisors (see below), whose sum is σ = 2548869120. Its totient is φ = 207191040.

The previous prime is 812965079. The next prime is 812965093. The reversal of 812965080 is 80569218.

812965080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 307444 + ... + 310076.

It is an arithmetic number, because the mean of its divisors is an integer number (19913040).

Almost surely, 2812965080 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 812965080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1274434560).

812965080 is an abundant number, since it is smaller than the sum of its proper divisors (1735904040).

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

812965080 is a wasteful number, since it uses less digits than its factorization.

812965080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2761 (or 2757 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 812965080 is about 28512.5425032564. The cubic root of 812965080 is about 933.3057979405.

The spelling of 812965080 in words is "eight hundred twelve million, nine hundred sixty-five thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 83 93 120 124 155 166 186 248 249 310 332 372 415 465 498 620 664 744 830 930 996 1240 1245 1660 1860 1992 2490 2573 2633 3320 3720 4980 5146 5266 7719 7899 9960 10292 10532 12865 13165 15438 15798 20584 21064 25730 26330 30876 31596 38595 39495 51460 52660 61752 63192 77190 78990 81623 102920 105320 154380 157980 163246 218539 244869 308760 315960 326492 408115 437078 489738 652984 655617 816230 874156 979476 1092695 1224345 1311234 1632460 1748312 1958952 2185390 2448690 2622468 3264920 3278085 4370780 4897380 5244936 6556170 6774709 8741560 9794760 13112340 13549418 20324127 26224680 27098836 33873545 40648254 54197672 67747090 81296508 101620635 135494180 162593016 203241270 270988360 406482540 812965080