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12427506 = 235713281
BaseRepresentation
bin101111011010…
…000011110010
3212101101100000
4233122003302
511140140011
61122210430
7210426540
oct57320362
925341300
1012427506
117018a73
1241b3a16
132761770
141916d90
151157356
hexbda0f2

12427506 has 96 divisors (see below), whose sum is σ = 34489728. Its totient is φ = 3265920.

The previous prime is 12427489. The next prime is 12427511. The reversal of 12427506 is 60572421.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12427506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44086 + ... + 44366.

It is an arithmetic number, because the mean of its divisors is an integer number (359268).

Almost surely, 212427506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12427506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17244864).

12427506 is an abundant number, since it is smaller than the sum of its proper divisors (22062222).

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

12427506 is a wasteful number, since it uses less digits than its factorization.

12427506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 12427506 is about 3525.2667984140. The cubic root of 12427506 is about 231.6299217697.

Adding to 12427506 its reverse (60572421), we get a palindrome (72999927).

The spelling of 12427506 in words is "twelve million, four hundred twenty-seven thousand, five hundred six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 81 91 117 126 162 182 189 234 243 273 281 351 378 486 546 562 567 702 819 843 1053 1134 1638 1686 1701 1967 2106 2457 2529 3159 3402 3653 3934 4914 5058 5901 6318 7306 7371 7587 10959 11802 14742 15174 17703 21918 22113 22761 25571 32877 35406 44226 45522 51142 53109 65754 68283 76713 98631 106218 136566 153426 159327 197262 230139 295893 318654 460278 477981 591786 690417 887679 955962 1380834 1775358 2071251 4142502 6213753 12427506