Search a number
-
+
12708180 = 22325174153
BaseRepresentation
bin110000011110…
…100101010100
3212220122100100
4300132211110
511223130210
61132214100
7213006042
oct60364524
925818310
1012708180
11719a931
12430a330
13282c444
14198b392
1511b05c0
hexc1e954

12708180 has 72 divisors (see below), whose sum is σ = 40825512. Its totient is φ = 3188736.

The previous prime is 12708173. The next prime is 12708209. The reversal of 12708180 is 8180721.

It can be written as a sum of positive squares in 4 ways, for example, as 219024 + 12489156 = 468^2 + 3534^2 .

It is a super-2 number, since 2×127081802 = 322995677824800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 984 + ... + 5136.

It is an arithmetic number, because the mean of its divisors is an integer number (567021).

Almost surely, 212708180 is an apocalyptic number.

12708180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12708180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20412756).

12708180 is an abundant number, since it is smaller than the sum of its proper divisors (28117332).

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

12708180 is a wasteful number, since it uses less digits than its factorization.

12708180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4185 (or 4180 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 12708180 is about 3564.8534331723. The cubic root of 12708180 is about 233.3607360107.

The spelling of 12708180 in words is "twelve million, seven hundred eight thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 4153 8306 12459 16612 20765 24918 37377 41530 49836 62295 70601 74754 83060 124590 141202 149508 186885 211803 249180 282404 353005 373770 423606 635409 706010 747540 847212 1059015 1270818 1412020 2118030 2541636 3177045 4236060 6354090 12708180