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13287645 = 345743109
BaseRepresentation
bin110010101100…
…000011011101
3221000002020000
4302230003131
511400201040
61152444513
7220641330
oct62540335
927002200
1013287645
117556228
124549739
1329a3117
141a9c617
151277130
hexcac0dd

13287645 has 80 divisors (see below), whose sum is σ = 28110720. Its totient is φ = 5878656.

The previous prime is 13287643. The next prime is 13287697. The reversal of 13287645 is 54678231.

13287645 is a `hidden beast` number, since 1 + 3 + 2 + 8 + 7 + 645 = 666.

13287645 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13287645 - 21 = 13287643 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13287643) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 121851 + ... + 121959.

It is an arithmetic number, because the mean of its divisors is an integer number (351384).

Almost surely, 213287645 is an apocalyptic number.

13287645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13287645 is an abundant number, since it is smaller than the sum of its proper divisors (14823075).

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

13287645 is a wasteful number, since it uses less digits than its factorization.

13287645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 167 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 13287645 is about 3645.2222154486. Note that the first 4 decimals coincide. The cubic root of 13287645 is about 236.8550627999.

The spelling of 13287645 in words is "thirteen million, two hundred eighty-seven thousand, six hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 43 45 63 81 105 109 129 135 189 215 301 315 327 387 405 545 567 645 763 903 945 981 1161 1505 1635 1935 2289 2709 2835 2943 3483 3815 4515 4687 4905 5805 6867 8127 8829 11445 13545 14061 14715 17415 20601 23435 24381 32809 34335 40635 42183 44145 61803 70305 98427 103005 121905 126549 164045 210915 295281 309015 379647 492135 632745 885843 1476405 1898235 2657529 4429215 13287645