Search a number
-
+
12482505 = 345721737
BaseRepresentation
bin101111100111…
…011111001001
3212111011210000
4233213133021
511143420010
61123313213
7211046100
oct57473711
925434700
1012482505
117056322
12421b809
1327807c9
14192d037
1511687c0
hexbe77c9

12482505 has 120 divisors (see below), whose sum is σ = 28305288. Its totient is φ = 5225472.

The previous prime is 12482501. The next prime is 12482521. The reversal of 12482505 is 50528421.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5143824 + 7338681 = 2268^2 + 2709^2 .

It is not a de Polignac number, because 12482505 - 22 = 12482501 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12482501) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 337347 + ... + 337383.

Almost surely, 212482505 is an apocalyptic number.

12482505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12482505 is an abundant number, since it is smaller than the sum of its proper divisors (15822783).

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

12482505 is a wasteful number, since it uses less digits than its factorization.

12482505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 12482505 is about 3533.0588729881. The cubic root of 12482505 is about 231.9711183329.

The spelling of 12482505 in words is "twelve million, four hundred eighty-two thousand, five hundred five".

Divisors: 1 3 5 7 9 15 17 21 27 35 37 45 49 51 63 81 85 105 111 119 135 147 153 185 189 245 255 259 315 333 357 405 441 459 555 567 595 629 735 765 777 833 945 999 1071 1295 1323 1377 1665 1785 1813 1887 2205 2295 2331 2499 2835 2997 3145 3213 3885 3969 4165 4403 4995 5355 5439 5661 6615 6885 6993 7497 9065 9435 9639 11655 12495 13209 14985 16065 16317 16983 19845 20979 22015 22491 27195 28305 30821 34965 37485 39627 48195 48951 50949 66045 67473 81585 84915 92463 104895 112455 118881 146853 154105 198135 244755 254745 277389 337365 356643 462315 594405 734265 832167 1386945 1783215 2496501 4160835 12482505