Search a number
-
+
6005000106 = 2327317150343
BaseRepresentation
bin1011001011110110…
…10000011110101010
3120111111110121112100
411211323100132222
544244240000411
62431511554230
7301544441640
oct54573203652
916444417470
106005000106
112601736506
1211b708b976
13749129901
1440d751190
152522c4456
hex165ed07aa

6005000106 has 48 divisors (see below), whose sum is σ = 14916530304. Its totient is φ = 1710290592.

The previous prime is 6005000087. The next prime is 6005000119. The reversal of 6005000106 is 6010005006.

6005000106 is a `hidden beast` number, since 60 + 0 + 500 + 0 + 106 = 666.

It is a super-2 number, since 2×60050001062 = 72120052546120022472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35230 + ... + 115113.

It is an arithmetic number, because the mean of its divisors is an integer number (310761048).

Almost surely, 26005000106 is an apocalyptic number.

6005000106 is an abundant number, since it is smaller than the sum of its proper divisors (8911530198).

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

6005000106 is a wasteful number, since it uses less digits than its factorization.

6005000106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150675 (or 150672 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 6005000106 is about 77491.9357481796. The cubic root of 6005000106 is about 1817.6252191022.

The spelling of 6005000106 in words is "six billion, five million, one hundred six", and thus it is an aban number.

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 317 634 951 1902 2219 2853 4438 5706 6657 13314 19971 39942 150343 300686 451029 902058 1052401 1353087 2104802 2706174 3157203 6314406 9471609 18943218 47658731 95317462 142976193 285952386 333611117 428928579 667222234 857857158 1000833351 2001666702 3002500053 6005000106