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12701268 = 2232352813
BaseRepresentation
bin110000011100…
…111001010100
3212220021212100
4300130321110
511222420033
61132122100
7212646636
oct60347124
925807770
1012701268
117195718
124306330
132829258
141988a56
1511ad513
hexc1ce54

12701268 has 18 divisors (see below), whose sum is σ = 32106074. Its totient is φ = 4233744.

The previous prime is 12701263. The next prime is 12701287. The reversal of 12701268 is 86210721.

It can be written as a sum of positive squares in only one way, i.e., 10575504 + 2125764 = 3252^2 + 1458^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×127012682 = 322644417615648, which contains 22 as substring.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (12701263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 176371 + ... + 176442.

Almost surely, 212701268 is an apocalyptic number.

12701268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12701268 is an abundant number, since it is smaller than the sum of its proper divisors (19404806).

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

12701268 is a wasteful number, since it uses less digits than its factorization.

12701268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352823 (or 352818 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 12701268 is about 3563.8838364907. The cubic root of 12701268 is about 233.3184199085.

Adding to 12701268 its reverse (86210721), we get a palindrome (98911989).

The spelling of 12701268 in words is "twelve million, seven hundred one thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 352813 705626 1058439 1411252 2116878 3175317 4233756 6350634 12701268