Search a number
-
+
5206606000 = 24539472749
BaseRepresentation
bin1001101100101011…
…01000000010110000
3111102212010222201021
410312111220002300
541130342343000
62220351345224
7243011264221
oct46625500260
914385128637
105206606000
112231aa2172
121013822214
1364c8b996b
143756c3248
1520716811a
hex1365680b0

5206606000 has 80 divisors (see below), whose sum is σ = 12607452000. Its totient is φ = 2079686400.

The previous prime is 5206605991. The next prime is 5206606037. The reversal of 5206606000 is 6066025.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (25).

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 15 ways as a sum of consecutive naturals, for example, 1892626 + ... + 1895374.

It is an arithmetic number, because the mean of its divisors is an integer number (157593150).

Almost surely, 25206606000 is an apocalyptic number.

5206606000 is a gapful number since it is divisible by the number (50) 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 5206606000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6303726000).

5206606000 is an abundant number, since it is smaller than the sum of its proper divisors (7400846000).

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

5206606000 is a wasteful number, since it uses less digits than its factorization.

5206606000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3719 (or 3703 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 5206606000 is about 72156.8153399248. The cubic root of 5206606000 is about 1733.2115381219.

The spelling of 5206606000 in words is "five billion, two hundred six million, six hundred six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 947 1000 1894 2000 2749 3788 4735 5498 7576 9470 10996 13745 15152 18940 21992 23675 27490 37880 43984 47350 54980 68725 75760 94700 109960 118375 137450 189400 219920 236750 274900 343625 378800 473500 549800 687250 947000 1099600 1374500 1894000 2603303 2749000 5206606 5498000 10413212 13016515 20826424 26033030 41652848 52066060 65082575 104132120 130165150 208264240 260330300 325412875 520660600 650825750 1041321200 1301651500 2603303000 5206606000