Search a number
-
+
12842505 = 3251329757
BaseRepresentation
bin110000111111…
…011000001001
3220011110121100
4300333120021
511241430010
61135132013
7214105464
oct60773011
926143540
1012842505
117281845
124374009
132878620
1419c42db
1511da2c0
hexc3f609

12842505 has 48 divisors (see below), whose sum is σ = 24832080. Its totient is φ = 6096384.

The previous prime is 12842503. The next prime is 12842519. The reversal of 12842505 is 50524821.

It is a happy number.

12842505 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 480249 + 12362256 = 693^2 + 3516^2 .

It is not a de Polignac number, because 12842505 - 21 = 12842503 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12842503) 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, 16587 + ... + 17343.

It is an arithmetic number, because the mean of its divisors is an integer number (517335).

Almost surely, 212842505 is an apocalyptic number.

12842505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12842505 is a deficient number, since it is larger than the sum of its proper divisors (11989575).

12842505 is a wasteful number, since it uses less digits than its factorization.

12842505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 807 counting only the distinct ones).

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

The square root of 12842505 is about 3583.6440950519. The cubic root of 12842505 is about 234.1800608395.

The spelling of 12842505 in words is "twelve million, eight hundred forty-two thousand, five hundred five".

Divisors: 1 3 5 9 13 15 29 39 45 65 87 117 145 195 261 377 435 585 757 1131 1305 1885 2271 3393 3785 5655 6813 9841 11355 16965 21953 29523 34065 49205 65859 88569 109765 147615 197577 285389 329295 442845 856167 987885 1426945 2568501 4280835 12842505