Search a number
-
+
5410210086 = 2323110918887
BaseRepresentation
bin1010000100111100…
…10100000100100110
3111222001021011000100
411002132110010212
542040003210321
62252503324530
7251033012151
oct50236240446
914861234010
105410210086
112326a16a06
12106ba50746
13682b36558
14394762c98
15219e85326
hex142794126

5410210086 has 48 divisors (see below), whose sum is σ = 12112708608. Its totient is φ = 1743433200.

The previous prime is 5410210079. The next prime is 5410210103. The reversal of 5410210086 is 6800120145.

It is a super-2 number, since 2×54102100862 = 58540746349312254792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 604335 + ... + 613221.

It is an arithmetic number, because the mean of its divisors is an integer number (252348096).

Almost surely, 25410210086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5410210086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6056354304).

5410210086 is an abundant number, since it is smaller than the sum of its proper divisors (6702498522).

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

5410210086 is a wasteful number, since it uses less digits than its factorization.

5410210086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10017 (or 10014 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 5410210086 is about 73554.1303123081. The cubic root of 5410210086 is about 1755.5156679820.

It can be divided in two parts, 5410 and 210086, that added together give a triangular number (215496 = T656).

The spelling of 5410210086 in words is "five billion, four hundred ten million, two hundred ten thousand, eighty-six".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 558 1091 2182 3273 6546 8887 9819 17774 19638 26661 33821 53322 67642 79983 101463 159966 202926 275497 304389 550994 608778 826491 1652982 2479473 4958946 9695717 19391434 29087151 58174302 87261453 174522906 300567227 601134454 901701681 1803403362 2705105043 5410210086