Search a number
-
+
12718240 = 255292741
BaseRepresentation
bin110000100001…
…000010100000
3212221011010221
4300201002200
511223440430
61132332424
7213050263
oct60410240
925834127
1012718240
1171a7447
124314114
132833bb2
141990cda
1511b357a
hexc210a0

12718240 has 48 divisors (see below), whose sum is σ = 31094280. Its totient is φ = 4910080.

The previous prime is 12718213. The next prime is 12718249. The reversal of 12718240 is 4281721.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9168784 + 3549456 = 3028^2 + 1884^2 .

It is not an unprimeable number, because it can be changed into a prime (12718249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3270 + ... + 6010.

Almost surely, 212718240 is an apocalyptic number.

12718240 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 12718240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15547140).

12718240 is an abundant number, since it is smaller than the sum of its proper divisors (18376040).

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

12718240 is a wasteful number, since it uses less digits than its factorization.

12718240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2785 (or 2777 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 12718240 is about 3566.2641517420. The cubic root of 12718240 is about 233.4222971419.

Adding to 12718240 its reverse (4281721), we get a palindrome (16999961).

The spelling of 12718240 in words is "twelve million, seven hundred eighteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 464 580 928 1160 2320 2741 4640 5482 10964 13705 21928 27410 43856 54820 79489 87712 109640 158978 219280 317956 397445 438560 635912 794890 1271824 1589780 2543648 3179560 6359120 12718240