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12972015 = 335723753
BaseRepresentation
bin110001011110…
…111111101111
3220102001021000
4301132333233
511310101030
61142011343
7215155200
oct61367757
926361230
1012972015
117360081
124416b53
1328c2564
141a195a7
151213860
hexc5efef

12972015 has 96 divisors (see below), whose sum is σ = 28071360. Its totient is φ = 5660928.

The previous prime is 12972007. The next prime is 12972067. The reversal of 12972015 is 51027921.

It is not a de Polignac number, because 12972015 - 23 = 12972007 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12972015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 244729 + ... + 244781.

It is an arithmetic number, because the mean of its divisors is an integer number (292410).

Almost surely, 212972015 is an apocalyptic number.

12972015 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12972015 is an abundant number, since it is smaller than the sum of its proper divisors (15099345).

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

12972015 is a wasteful number, since it uses less digits than its factorization.

12972015 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 12972015 is about 3601.6683634116. The cubic root of 12972015 is about 234.9646242208.

Adding to 12972015 its reverse (51027921), we get a palindrome (63999936).

The spelling of 12972015 in words is "twelve million, nine hundred seventy-two thousand, fifteen".

Divisors: 1 3 5 7 9 15 21 27 35 37 45 49 53 63 105 111 135 147 159 185 189 245 259 265 315 333 371 441 477 555 735 777 795 945 999 1113 1295 1323 1431 1665 1813 1855 1961 2205 2331 2385 2597 3339 3885 4995 5439 5565 5883 6615 6993 7155 7791 9065 9805 10017 11655 12985 13727 16317 16695 17649 23373 27195 29415 34965 38955 41181 48951 50085 52947 68635 70119 81585 88245 96089 116865 123543 205905 244755 264735 288267 350595 370629 480445 617715 864801 1441335 1853145 2594403 4324005 12972015