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12297936 = 2437172153
BaseRepresentation
bin101110111010…
…011011010000
3212010210121010
4232322123100
511122013221
61115330520
7206350020
oct56723320
925123533
1012297936
116a3a692
124150a40
1327177b1
1418c1a80
15112dc76
hexbba6d0

12297936 has 80 divisors (see below), whose sum is σ = 38461824. Its totient is φ = 3305472.

The previous prime is 12297913. The next prime is 12297937. The reversal of 12297936 is 63979221.

It is a junction number, because it is equal to n+sod(n) for n = 12297894 and 12297903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12297937) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4636 + ... + 6788.

Almost surely, 212297936 is an apocalyptic number.

12297936 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 12297936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19230912).

12297936 is an abundant number, since it is smaller than the sum of its proper divisors (26163888).

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

12297936 is a wasteful number, since it uses less digits than its factorization.

12297936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2188 (or 2182 counting only the distinct ones).

The product of its digits is 40824, while the sum is 39.

The square root of 12297936 is about 3506.8413137751. The cubic root of 12297936 is about 230.8221115054.

It can be divided in two parts, 122979 and 36, that multiplied together give a palindrome (4427244).

The spelling of 12297936 in words is "twelve million, two hundred ninety-seven thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 136 168 204 238 272 336 357 408 476 714 816 952 1428 1904 2153 2856 4306 5712 6459 8612 12918 15071 17224 25836 30142 34448 36601 45213 51672 60284 73202 90426 103344 109803 120568 146404 180852 219606 241136 256207 292808 361704 439212 512414 585616 723408 768621 878424 1024828 1537242 1756848 2049656 3074484 4099312 6148968 12297936