Search a number
-
+
1079250978 = 231353713677
BaseRepresentation
bin100000001010100…
…0001000000100010
32210012210122000110
41000111001000202
54202242012403
6255032032150
735513324211
oct10025010042
92705718013
101079250978
11504233263
12261532656
13142797660
14a349b078
1564b38103
hex40541022

1079250978 has 64 divisors (see below), whose sum is σ = 2402410752. Its totient is φ = 321135360.

The previous prime is 1079250971. The next prime is 1079250983. The reversal of 1079250978 is 8790529701.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (1079250971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 291676 + ... + 295352.

It is an arithmetic number, because the mean of its divisors is an integer number (37537668).

Almost surely, 21079250978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1079250978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1201205376).

1079250978 is an abundant number, since it is smaller than the sum of its proper divisors (1323159774).

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

1079250978 is a wasteful number, since it uses less digits than its factorization.

1079250978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3819.

The product of its (nonzero) digits is 317520, while the sum is 48.

The square root of 1079250978 is about 32851.9554669125. The cubic root of 1079250978 is about 1025.7483261885.

The spelling of 1079250978 in words is "one billion, seventy-nine million, two hundred fifty thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 13 26 39 53 71 78 106 142 159 213 318 426 689 923 1378 1846 2067 2769 3677 3763 4134 5538 7354 7526 11031 11289 22062 22578 47801 48919 95602 97838 143403 146757 194881 261067 286806 293514 389762 522134 584643 783201 1169286 1566402 2533453 3393871 5066906 6787742 7600359 10181613 13836551 15200718 20363226 27673102 41509653 83019306 179875163 359750326 539625489 1079250978