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12883230 = 2325433329
BaseRepresentation
bin110001001001…
…010100011110
3220020112110200
4301021110132
511244230410
61140044330
7214335303
oct61112436
926215420
1012883230
1172aa3a8
1243936a6
132891019
1419d50aa
1511e73c0
hexc4951e

12883230 has 48 divisors (see below), whose sum is σ = 34285680. Its totient is φ = 3354624.

The previous prime is 12883223. The next prime is 12883237. The reversal of 12883230 is 3238821.

It is an interprime number because it is at equal distance from previous prime (12883223) and next prime (12883237).

It is a junction number, because it is equal to n+sod(n) for n = 12883194 and 12883203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12883237) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2206 + ... + 5534.

It is an arithmetic number, because the mean of its divisors is an integer number (714285).

Almost surely, 212883230 is an apocalyptic number.

12883230 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 12883230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17142840).

12883230 is an abundant number, since it is smaller than the sum of its proper divisors (21402450).

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

12883230 is a wasteful number, since it uses less digits than its factorization.

12883230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3385 (or 3382 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 12883230 is about 3589.3216629330. The cubic root of 12883230 is about 234.4273365789.

The spelling of 12883230 in words is "twelve million, eight hundred eighty-three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 43 45 86 90 129 215 258 387 430 645 774 1290 1935 3329 3870 6658 9987 16645 19974 29961 33290 49935 59922 99870 143147 149805 286294 299610 429441 715735 858882 1288323 1431470 2147205 2576646 4294410 6441615 12883230