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12982242 = 2371323159
BaseRepresentation
bin110001100001…
…011111100010
3220102120021210
4301201133202
511310412432
61142130550
7215230050
oct61413742
926376253
1012982242
117367829
124420a56
1328c7100
141a1d1d0
1512168cc
hexc617e2

12982242 has 96 divisors (see below), whose sum is σ = 33730560. Its totient is φ = 3257280.

The previous prime is 12982213. The next prime is 12982243. The reversal of 12982242 is 24228921.

12982242 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

Its product of digits (4608) is a multiple of the sum of its prime factors (128).

It is not an unprimeable number, because it can be changed into a prime (12982243) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 220009 + ... + 220067.

It is an arithmetic number, because the mean of its divisors is an integer number (351360).

Almost surely, 212982242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12982242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16865280).

12982242 is an abundant number, since it is smaller than the sum of its proper divisors (20748318).

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

12982242 is a wasteful number, since it uses less digits than its factorization.

12982242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 115 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 12982242 is about 3603.0878423930. The cubic root of 12982242 is about 235.0263558791.

The spelling of 12982242 in words is "twelve million, nine hundred eighty-two thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 13 14 21 26 31 39 42 59 62 78 91 93 118 169 177 182 186 217 273 338 354 403 413 434 507 546 651 767 806 826 1014 1183 1209 1239 1302 1534 1829 2301 2366 2418 2478 2821 3549 3658 4602 5239 5369 5487 5642 7098 8463 9971 10478 10738 10974 12803 15717 16107 16926 19942 23777 25606 29913 31434 32214 36673 38409 47554 59826 69797 71331 73346 76818 110019 139594 142662 166439 209391 220038 309101 332878 418782 499317 618202 927303 998634 1854606 2163707 4327414 6491121 12982242