Search a number
-
+
1291079856 = 243114875021
BaseRepresentation
bin100110011110100…
…0101000010110000
310022222101122121110
41030331011002300
510121004023411
6332040153320
743664666133
oct11475050260
93288348543
101291079856
11602865450
12300468840
13177633aa1
14c367c21a
157852c2a6
hex4cf450b0

1291079856 has 80 divisors (see below), whose sum is σ = 3646695168. Its totient is φ = 390355200.

The previous prime is 1291079851. The next prime is 1291079863. The reversal of 1291079856 is 6589701921.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1291079851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 254626 + ... + 259646.

Almost surely, 21291079856 is an apocalyptic number.

1291079856 is a gapful number since it is divisible by the number (16) 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 1291079856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1823347584).

1291079856 is an abundant number, since it is smaller than the sum of its proper divisors (2355615312).

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

1291079856 is a wasteful number, since it uses less digits than its factorization.

1291079856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5530 (or 5524 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 48.

The square root of 1291079856 is about 35931.5996860702. The cubic root of 1291079856 is about 1088.8909000163.

The spelling of 1291079856 in words is "one billion, two hundred ninety-one million, seventy-nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 487 528 974 1461 1948 2922 3896 5021 5357 5844 7792 10042 10714 11688 15063 16071 20084 21428 23376 30126 32142 40168 42856 55231 60252 64284 80336 85712 110462 120504 128568 165693 220924 241008 257136 331386 441848 662772 883696 1325544 2445227 2651088 4890454 7335681 9780908 14671362 19561816 26897497 29342724 39123632 53794994 58685448 80692491 107589988 117370896 161384982 215179976 322769964 430359952 645539928 1291079856