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12831940 = 22511174773
BaseRepresentation
bin110000111100…
…110011000100
3220010221010001
4300330303010
511241110230
61135011044
7214032622
oct60746304
926127101
1012831940
117274910
124369a84
132873884
1419c0512
1511d70ca
hexc3ccc4

12831940 has 96 divisors (see below), whose sum is σ = 32223744. Its totient is φ = 4239360.

The previous prime is 12831937. The next prime is 12831961. The reversal of 12831940 is 4913821.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12831899 and 12831908.

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 31 ways as a sum of consecutive naturals, for example, 175744 + ... + 175816.

It is an arithmetic number, because the mean of its divisors is an integer number (335664).

Almost surely, 212831940 is an apocalyptic number.

12831940 is a gapful number since it is divisible by the number (10) 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 12831940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16111872).

12831940 is an abundant number, since it is smaller than the sum of its proper divisors (19391804).

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

12831940 is a wasteful number, since it uses less digits than its factorization.

12831940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 12831940 is about 3582.1697335553. The cubic root of 12831940 is about 234.1158264578.

It can be divided in two parts, 1283 and 1940, that added together give a palindrome (3223).

The spelling of 12831940 in words is "twelve million, eight hundred thirty-one thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 47 55 68 73 85 94 110 146 170 187 188 220 235 292 340 365 374 470 517 730 748 799 803 935 940 1034 1241 1460 1598 1606 1870 2068 2482 2585 3196 3212 3431 3740 3995 4015 4964 5170 6205 6862 7990 8030 8789 10340 12410 13651 13724 15980 16060 17155 17578 24820 27302 34310 35156 37741 43945 54604 58327 68255 68620 75482 87890 116654 136510 150964 175780 188705 233308 273020 291635 377410 583270 641597 754820 1166540 1283194 2566388 3207985 6415970 12831940