Search a number
-
+
1279140112 = 241711341617
BaseRepresentation
bin100110000111110…
…0010000100010000
310022010221001100201
41030033202010100
510104424440422
6330532224544
743461340315
oct11417420420
93263831321
101279140112
115a704a998
122b846b154
13175013353
14c1c50d0c
157746e727
hex4c3e2110

1279140112 has 40 divisors (see below), whose sum is σ = 2647404216. Its totient is φ = 596606976.

The previous prime is 1279140089. The next prime is 1279140131. The reversal of 1279140112 is 2110419721.

It can be written as a sum of positive squares in 4 ways, for example, as 410305536 + 868834576 = 20256^2 + 29476^2 .

It is a super-2 number, since 2×12791401122 = 3272398852254745088, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 9928 + ... + 51544.

Almost surely, 21279140112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1279140112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323702108).

1279140112 is an abundant number, since it is smaller than the sum of its proper divisors (1368264104).

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

1279140112 is a wasteful number, since it uses less digits than its factorization.

1279140112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41755 (or 41749 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 28.

The square root of 1279140112 is about 35765.0683209189. The cubic root of 1279140112 is about 1085.5238572627.

Adding to 1279140112 its reverse (2110419721), we get a palindrome (3389559833).

The spelling of 1279140112 in words is "one billion, two hundred seventy-nine million, one hundred forty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 34 68 113 136 226 272 452 904 1808 1921 3842 7684 15368 30736 41617 83234 166468 332936 665872 707489 1414978 2829956 4702721 5659912 9405442 11319824 18810884 37621768 75243536 79946257 159892514 319785028 639570056 1279140112