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12996270 = 232573421
BaseRepresentation
bin110001100100…
…111010101110
3220110021112100
4301210322232
511311340040
61142315530
7215316000
oct61447256
926407470
1012996270
117377321
124428ba6
132900601
141a24370
15121ab30
hexc64eae

12996270 has 96 divisors (see below), whose sum is σ = 39499200. Its totient is φ = 2963520.

The previous prime is 12996257. The next prime is 12996271. The reversal of 12996270 is 7269921.

12996270 is a `hidden beast` number, since 1 + 29 + 9 + 627 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12996271) 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 47 ways as a sum of consecutive naturals, for example, 30660 + ... + 31080.

It is an arithmetic number, because the mean of its divisors is an integer number (411450).

Almost surely, 212996270 is an apocalyptic number.

12996270 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12996270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19749600).

12996270 is an abundant number, since it is smaller than the sum of its proper divisors (26502930).

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

12996270 is a wasteful number, since it uses less digits than its factorization.

12996270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 12996270 is about 3605.0339804224. The cubic root of 12996270 is about 235.1109782148.

It can be divided in two parts, 1299 and 6270, that added together give a square (7569 = 872).

The spelling of 12996270 in words is "twelve million, nine hundred ninety-six thousand, two hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 343 421 441 490 630 686 735 842 882 1029 1263 1470 1715 2058 2105 2205 2526 2947 3087 3430 3789 4210 4410 5145 5894 6174 6315 7578 8841 10290 12630 14735 15435 17682 18945 20629 26523 29470 30870 37890 41258 44205 53046 61887 88410 103145 123774 132615 144403 185661 206290 265230 288806 309435 371322 433209 618870 722015 866418 928305 1299627 1444030 1856610 2166045 2599254 4332090 6498135 12996270