Search a number
-
+
6000500106 = 232718356569
BaseRepresentation
bin1011001011010100…
…00101110110001010
3120111011222222200200
411211222011312022
544242112000411
62431231313030
7301461260256
oct54552056612
916434888620
106000500106
1125aa1425a7
1211b567b776
137482125a3
1440ccdd266
15251bd5e56
hex165a85d8a

6000500106 has 48 divisors (see below), whose sum is σ = 13343279040. Its totient is φ = 1948201920.

The previous prime is 6000500087. The next prime is 6000500111. The reversal of 6000500106 is 6010050006.

6000500106 is a `hidden beast` number, since 60 + 0 + 0 + 500 + 106 = 666.

It is a super-2 number, since 2×60005001062 = 72012003044212022472, 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, 77790 + ... + 134358.

It is an arithmetic number, because the mean of its divisors is an integer number (277984980).

Almost surely, 26000500106 is an apocalyptic number.

6000500106 is an abundant number, since it is smaller than the sum of its proper divisors (7342778934).

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

6000500106 is a wasteful number, since it uses less digits than its factorization.

6000500106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56731 (or 56728 counting only the distinct ones).

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

The square root of 6000500106 is about 77462.8950272322. The cubic root of 6000500106 is about 1817.1710777024.

The spelling of 6000500106 in words is "six billion, five hundred thousand, one hundred six".

Divisors: 1 2 3 6 9 18 71 83 142 166 213 249 426 498 639 747 1278 1494 5893 11786 17679 35358 53037 56569 106074 113138 169707 339414 509121 1018242 4016399 4695227 8032798 9390454 12049197 14085681 24098394 28171362 36147591 42257043 72295182 84514086 333361117 666722234 1000083351 2000166702 3000250053 6000500106