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12268260 = 223457573
BaseRepresentation
bin101110110011…
…001011100100
3212002021220000
4232303023210
511120041020
61114541300
7206164344
oct56631344
925067800
1012268260
116a1a364
124137830
132707134
1418b4d24
151125090
hexbb32e4

12268260 has 60 divisors (see below), whose sum is σ = 38491068. Its totient is φ = 3271104.

The previous prime is 12268253. The next prime is 12268261. The reversal of 12268260 is 6286221.

It can be written as a sum of positive squares in 2 ways, for example, as 9585216 + 2683044 = 3096^2 + 1638^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12268261) 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 19 ways as a sum of consecutive naturals, for example, 2167 + ... + 5406.

Almost surely, 212268260 is an apocalyptic number.

12268260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12268260 is an abundant number, since it is smaller than the sum of its proper divisors (26222808).

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

12268260 is a wasteful number, since it uses less digits than its factorization.

12268260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7594 (or 7583 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 12268260 is about 3502.6076000603. The cubic root of 12268260 is about 230.6362972852.

The spelling of 12268260 in words is "twelve million, two hundred sixty-eight thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 7573 15146 22719 30292 37865 45438 68157 75730 90876 113595 136314 151460 204471 227190 272628 340785 408942 454380 613413 681570 817884 1022355 1226826 1363140 2044710 2453652 3067065 4089420 6134130 12268260