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12682224 = 243331947
BaseRepresentation
bin110000011000…
…001111110000
3212212022202000
4300120033300
511221312344
61131454000
7212540262
oct60301760
925768660
1012682224
117182385
1242b7300
132820699
141981b32
1511a7a69
hexc183f0

12682224 has 80 divisors (see below), whose sum is σ = 37616640. Its totient is φ = 4086720.

The previous prime is 12682213. The next prime is 12682237. The reversal of 12682224 is 42228621.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12919 + ... + 13865.

It is an arithmetic number, because the mean of its divisors is an integer number (470208).

Almost surely, 212682224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12682224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18808320).

12682224 is an abundant number, since it is smaller than the sum of its proper divisors (24934416).

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

12682224 is a wasteful number, since it uses less digits than its factorization.

12682224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995 (or 983 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 12682224 is about 3561.2110299728. The cubic root of 12682224 is about 233.2017507545.

The spelling of 12682224 in words is "twelve million, six hundred eighty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 93 108 124 144 186 216 248 279 372 432 496 558 744 837 947 1116 1488 1674 1894 2232 2841 3348 3788 4464 5682 6696 7576 8523 11364 13392 15152 17046 22728 25569 29357 34092 45456 51138 58714 68184 88071 102276 117428 136368 176142 204552 234856 264213 352284 409104 469712 528426 704568 792639 1056852 1409136 1585278 2113704 3170556 4227408 6341112 12682224