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12812418 = 23541643
BaseRepresentation
bin110000111000…
…000010000010
3220002221100000
4300320002002
511234444133
61134340430
7213621663
oct60700202
926087300
1012812418
117261183
12435a716
132867a18
1419b736a
1511d1413
hexc38082

12812418 has 48 divisors (see below), whose sum is σ = 29536416. Its totient is φ = 4160160.

The previous prime is 12812417. The next prime is 12812419. The reversal of 12812418 is 81421821.

It is an interprime number because it is at equal distance from previous prime (12812417) and next prime (12812419).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 12812391 and 12812400.

It is not an unprimeable number, because it can be changed into a prime (12812411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19605 + ... + 20247.

It is an arithmetic number, because the mean of its divisors is an integer number (615342).

Almost surely, 212812418 is an apocalyptic number.

12812418 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12812418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14768208).

12812418 is an abundant number, since it is smaller than the sum of its proper divisors (16723998).

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

12812418 is an equidigital number, since it uses as much as digits as its factorization.

12812418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 689 counting only the distinct ones).

The product of its digits is 1024, while the sum is 27.

The square root of 12812418 is about 3579.4438115439. The cubic root of 12812418 is about 233.9970413827.

The spelling of 12812418 in words is "twelve million, eight hundred twelve thousand, four hundred eighteen".

Divisors: 1 2 3 6 9 18 27 41 54 81 82 123 162 243 246 369 486 643 738 1107 1286 1929 2214 3321 3858 5787 6642 9963 11574 17361 19926 26363 34722 52083 52726 79089 104166 156249 158178 237267 312498 474534 711801 1423602 2135403 4270806 6406209 12812418