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12420268 = 2271797269
BaseRepresentation
bin101111011000…
…010010101100
3212101000101221
4233120102230
511134422033
61122113124
7210366460
oct57302254
925330357
1012420268
117013593
1241ab7a4
13275b393
1419144a0
15115512d
hexbd84ac

12420268 has 48 divisors (see below), whose sum is σ = 26671680. Its totient is φ = 4939776.

The previous prime is 12420263. The next prime is 12420269. The reversal of 12420268 is 86202421.

It is a happy number.

12420268 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12420263) 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, 46038 + ... + 46306.

It is an arithmetic number, because the mean of its divisors is an integer number (555660).

Almost surely, 212420268 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 12420268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13335840).

12420268 is an abundant number, since it is smaller than the sum of its proper divisors (14251412).

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

12420268 is a wasteful number, since it uses less digits than its factorization.

12420268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 12420268 is about 3524.2400599278. The cubic root of 12420268 is about 231.5849445779.

Adding to 12420268 its reverse (86202421), we get a palindrome (98622689).

The spelling of 12420268 in words is "twelve million, four hundred twenty thousand, two hundred sixty-eight".

Divisors: 1 2 4 7 14 17 28 34 68 97 119 194 238 269 388 476 538 679 1076 1358 1649 1883 2716 3298 3766 4573 6596 7532 9146 11543 18292 23086 26093 32011 46172 52186 64022 104372 128044 182651 365302 443581 730604 887162 1774324 3105067 6210134 12420268