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12982830 = 2357211293
BaseRepresentation
bin110001100001…
…101000101110
3220102121002120
4301201220232
511310422310
61142133410
7215231550
oct61415056
926377076
1012982830
117368213
124421266
1328c7463
141a1d4d0
151216b70
hexc61a2e

12982830 has 64 divisors (see below), whose sum is σ = 35900928. Its totient is φ = 2943360.

The previous prime is 12982793. The next prime is 12982859. The reversal of 12982830 is 3828921.

It is a junction number, because it is equal to n+sod(n) for n = 12982791 and 12982800.

It is a congruent number.

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, 44164 + ... + 44456.

It is an arithmetic number, because the mean of its divisors is an integer number (560952).

Almost surely, 212982830 is an apocalyptic number.

12982830 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 12982830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17950464).

12982830 is an abundant number, since it is smaller than the sum of its proper divisors (22918098).

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

12982830 is a wasteful number, since it uses less digits than its factorization.

12982830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521.

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 12982830 is about 3603.1694381475. The cubic root of 12982830 is about 235.0299041468.

The spelling of 12982830 in words is "twelve million, nine hundred eighty-two thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 211 293 422 586 633 879 1055 1266 1465 1477 1758 2051 2110 2930 2954 3165 4102 4395 4431 6153 6330 7385 8790 8862 10255 12306 14770 20510 22155 30765 44310 61530 61823 123646 185469 309115 370938 432761 618230 865522 927345 1298283 1854690 2163805 2596566 4327610 6491415 12982830