Search a number
-
+
5410717060 = 2257314013109
BaseRepresentation
bin1010000101000000…
…01111110110000100
3111222002012220110011
411002200033312010
542040120421220
62252522240004
7251040223210
oct50240176604
914862186404
105410717060
1123272328a1
121070056004
13682c83238
14394855940
1521a03565a
hex14280fd84

5410717060 has 96 divisors (see below), whose sum is σ = 13442365440. Its totient is φ = 1790208000.

The previous prime is 5410717051. The next prime is 5410717061. The reversal of 5410717060 is 607170145.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (5410717061) 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 31 ways as a sum of consecutive naturals, for example, 1738786 + ... + 1741894.

It is an arithmetic number, because the mean of its divisors is an integer number (140024640).

Almost surely, 25410717060 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 5410717060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6721182720).

5410717060 is an abundant number, since it is smaller than the sum of its proper divisors (8031648380).

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

5410717060 is a wasteful number, since it uses less digits than its factorization.

5410717060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3557 (or 3555 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 31.

The square root of 5410717060 is about 73557.5764962386. The cubic root of 5410717060 is about 1755.5705009113.

The spelling of 5410717060 in words is "five billion, four hundred ten million, seven hundred seventeen thousand, sixty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 155 217 310 401 434 620 802 868 1085 1604 2005 2170 2807 3109 4010 4340 5614 6218 8020 11228 12431 12436 14035 15545 21763 24862 28070 31090 43526 49724 56140 62155 62180 87017 87052 96379 108815 124310 174034 192758 217630 248620 348068 385516 435085 435260 481895 674653 870170 963790 1246709 1349306 1740340 1927580 2493418 2698612 3373265 4986836 6233545 6746530 8726963 12467090 13493060 17453926 24934180 34907852 38647979 43634815 77295958 87269630 154591916 174539260 193239895 270535853 386479790 541071706 772959580 1082143412 1352679265 2705358530 5410717060