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12275406 = 232111319251
BaseRepresentation
bin101110110100…
…111011001110
3212002122200200
4232310323032
511120303111
61115034330
7206224233
oct56647316
925078620
1012275406
116a24770
12413b9a6
13270a470
1418b778a
151127256
hexbb4ece

12275406 has 96 divisors (see below), whose sum is σ = 33022080. Its totient is φ = 3240000.

The previous prime is 12275401. The next prime is 12275407. The reversal of 12275406 is 60457221.

It is a self number, because there is not a number n which added to its sum of digits gives 12275406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12275401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48781 + ... + 49031.

It is an arithmetic number, because the mean of its divisors is an integer number (343980).

Almost surely, 212275406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12275406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16511040).

12275406 is an abundant number, since it is smaller than the sum of its proper divisors (20746674).

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

12275406 is a wasteful number, since it uses less digits than its factorization.

12275406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 12275406 is about 3503.6275486986. The cubic root of 12275406 is about 230.6810688362.

The spelling of 12275406 in words is "twelve million, two hundred seventy-five thousand, four hundred six".

Divisors: 1 2 3 6 9 11 13 18 19 22 26 33 38 39 57 66 78 99 114 117 143 171 198 209 234 247 251 286 342 418 429 494 502 627 741 753 858 1254 1287 1482 1506 1881 2223 2259 2574 2717 2761 3263 3762 4446 4518 4769 5434 5522 6526 8151 8283 9538 9789 14307 16302 16566 19578 24453 24849 28614 29367 35893 42921 48906 49698 52459 58734 61997 71786 85842 104918 107679 123994 157377 185991 215358 314754 323037 371982 472131 557973 646074 681967 944262 1115946 1363934 2045901 4091802 6137703 12275406