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812031520 = 25517793779
BaseRepresentation
bin110000011001101…
…001111000100000
32002120222110211111
4300121221320200
53130340002040
6212324353104
726060103556
oct6031517040
92076873744
10812031520
11387409333
121a7b45794
13cc306331
1479bbbbd6
154b451dea
hex30669e20

812031520 has 96 divisors (see below), whose sum is σ = 2057529600. Its totient is φ = 301756416.

The previous prime is 812031509. The next prime is 812031533. The reversal of 812031520 is 25130218.

It is a junction number, because it is equal to n+sod(n) for n = 812031491 and 812031500.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 212991 + ... + 216769.

It is an arithmetic number, because the mean of its divisors is an integer number (21432600).

Almost surely, 2812031520 is an apocalyptic number.

812031520 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 812031520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028764800).

812031520 is an abundant number, since it is smaller than the sum of its proper divisors (1245498080).

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

812031520 is a wasteful number, since it uses less digits than its factorization.

812031520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3890 (or 3882 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 812031520 is about 28496.1667597591. The cubic root of 812031520 is about 932.9484104339.

Adding to 812031520 its reverse (25130218), we get a palindrome (837161738).

The spelling of 812031520 in words is "eight hundred twelve million, thirty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 79 80 85 136 158 160 170 272 316 340 395 544 632 680 790 1264 1343 1360 1580 2528 2686 2720 3160 3779 5372 6320 6715 7558 10744 12640 13430 15116 18895 21488 26860 30232 37790 42976 53720 60464 64243 75580 107440 120928 128486 151160 214880 256972 298541 302320 321215 513944 597082 604640 642430 1027888 1194164 1284860 1492705 2055776 2388328 2569720 2985410 4776656 5075197 5139440 5970820 9553312 10150394 10278880 11941640 20300788 23883280 25375985 40601576 47766560 50751970 81203152 101503940 162406304 203007880 406015760 812031520