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12830370 = 2357107571
BaseRepresentation
bin110000111100…
…011010100010
3220010211221220
4300330122202
511241032440
61134555510
7214025220
oct60743242
926124856
1012830370
117273713
124368b96
132872c47
1419bdb10
1511d68d0
hexc3c6a2

12830370 has 64 divisors (see below), whose sum is σ = 35582976. Its totient is φ = 2900160.

The previous prime is 12830369. The next prime is 12830437. The reversal of 12830370 is 7303821.

It is a self number, because there is not a number n which added to its sum of digits gives 12830370.

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, 22185 + ... + 22755.

It is an arithmetic number, because the mean of its divisors is an integer number (555984).

Almost surely, 212830370 is an apocalyptic number.

12830370 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12830370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17791488).

12830370 is an abundant number, since it is smaller than the sum of its proper divisors (22752606).

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

12830370 is a wasteful number, since it uses less digits than its factorization.

12830370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695.

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 12830370 is about 3581.9505859238. The cubic root of 12830370 is about 234.1062779708.

The spelling of 12830370 in words is "twelve million, eight hundred thirty thousand, three hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 107 210 214 321 535 571 642 749 1070 1142 1498 1605 1713 2247 2855 3210 3426 3745 3997 4494 5710 7490 7994 8565 11235 11991 17130 19985 22470 23982 39970 59955 61097 119910 122194 183291 305485 366582 427679 610970 855358 916455 1283037 1832910 2138395 2566074 4276790 6415185 12830370