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12420336 = 2431731491
BaseRepresentation
bin101111011000…
…010011110000
3212101000111110
4233120103300
511134422321
61122113320
7210366615
oct57302360
925330443
1012420336
117013645
1241ab840
13275b416
14191450c
151155176
hexbd84f0

12420336 has 80 divisors (see below), whose sum is σ = 35140608. Its totient is φ = 3763200.

The previous prime is 12420329. The next prime is 12420337. The reversal of 12420336 is 63302421.

It is a happy number.

12420336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12420337) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25051 + ... + 25541.

Almost surely, 212420336 is an apocalyptic number.

12420336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12420336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17570304).

12420336 is an abundant number, since it is smaller than the sum of its proper divisors (22720272).

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

12420336 is a wasteful number, since it uses less digits than its factorization.

12420336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 12420336 is about 3524.2497073845. The cubic root of 12420336 is about 231.5853672136.

Adding to 12420336 its reverse (63302421), we get a palindrome (75722757).

The spelling of 12420336 in words is "twelve million, four hundred twenty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 34 48 51 62 68 93 102 124 136 186 204 248 272 372 408 491 496 527 744 816 982 1054 1473 1488 1581 1964 2108 2946 3162 3928 4216 5892 6324 7856 8347 8432 11784 12648 15221 16694 23568 25041 25296 30442 33388 45663 50082 60884 66776 91326 100164 121768 133552 182652 200328 243536 258757 365304 400656 517514 730608 776271 1035028 1552542 2070056 3105084 4140112 6210168 12420336