Search a number
-
+
2716826130 = 233543922921
BaseRepresentation
bin1010000111101111…
…0111101000010010
321000100012001211000
42201323313220102
521031001414010
61125331002430
7124216432614
oct24173675022
97010161730
102716826130
111174639757
12639a39416
13343b28335
141bab72db4
1510d7aa7c0
hexa1ef7a12

2716826130 has 64 divisors (see below), whose sum is σ = 7261689600. Its totient is φ = 722805120.

The previous prime is 2716826087. The next prime is 2716826137. The reversal of 2716826130 is 316286172.

2716826130 is a `hidden beast` number, since 27 + 16 + 8 + 2 + 613 + 0 = 666.

It is a super-2 number, since 2×27168261302 = 14762288441301553800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2716826137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107070 + ... + 129990.

It is an arithmetic number, because the mean of its divisors is an integer number (113463900).

Almost surely, 22716826130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2716826130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3630844800).

2716826130 is an abundant number, since it is smaller than the sum of its proper divisors (4544863470).

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

2716826130 is a wasteful number, since it uses less digits than its factorization.

2716826130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23376 (or 23370 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2716826130 is about 52123.1822704639. The cubic root of 2716826130 is about 1395.3632537656.

The spelling of 2716826130 in words is "two billion, seven hundred sixteen million, eight hundred twenty-six thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 439 878 1317 2195 2634 3951 4390 6585 7902 11853 13170 19755 22921 23706 39510 45842 59265 68763 114605 118530 137526 206289 229210 343815 412578 618867 687630 1031445 1237734 2062890 3094335 6188670 10062319 20124638 30186957 50311595 60373914 90560871 100623190 150934785 181121742 271682613 301869570 452804355 543365226 905608710 1358413065 2716826130