Search a number
-
+
6000460973 = 136717214003
BaseRepresentation
bin1011001011010011…
…11100010010101101
3120111011221000000022
411211221330102231
544242104222343
62431230411525
7301461035213
oct54551742255
916434830008
106000460973
1125aa116161
1211b5660ba5
137481ca830
1440cccccb3
15251bc9568
hex165a7c4ad

6000460973 has 16 divisors (see below), whose sum is σ = 6563933376. Its totient is φ = 5451684480.

The previous prime is 6000460951. The next prime is 6000460979. The reversal of 6000460973 is 3790640006.

It is a cyclic number.

It is not a de Polignac number, because 6000460973 - 28 = 6000460717 is a prime.

It is a super-2 number, since 2×60004609732 = 72011063776992213458, which contains 22 as substring.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6000460979) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1496990 + ... + 1500992.

It is an arithmetic number, because the mean of its divisors is an integer number (410245836).

Almost surely, 26000460973 is an apocalyptic number.

It is an amenable number.

6000460973 is a deficient number, since it is larger than the sum of its proper divisors (563472403).

6000460973 is a wasteful number, since it uses less digits than its factorization.

6000460973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5804.

The product of its (nonzero) digits is 27216, while the sum is 35.

The square root of 6000460973 is about 77462.6424349183. The cubic root of 6000460973 is about 1817.1671273922.

The spelling of 6000460973 in words is "six billion, four hundred sixty thousand, nine hundred seventy-three".

Divisors: 1 13 67 871 1721 4003 22373 52039 115307 268201 1498991 3486613 6889163 89559119 461573921 6000460973