Search a number
-
+
6060006000 = 243253336667
BaseRepresentation
bin1011010010011010…
…00101101001110000
3120122022222012102200
411221031011221300
544402330143000
62441154543200
7303113125656
oct55115055160
916568865380
106060006000
11262a796224
121211597b00
13757648689
14416b8cdd6
1525703c500
hex169345a70

6060006000 has 120 divisors (see below), whose sum is σ = 21165643824. Its totient is φ = 1615996800.

The previous prime is 6060005989. The next prime is 6060006011. The reversal of 6060006000 is 6000606.

6060006000 is a `hidden beast` number, since 6 + 0 + 60 + 0 + 0 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6060005989) and next prime (6060006011).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

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, 150334 + ... + 186333.

Almost surely, 26060006000 is an apocalyptic number.

6060006000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6060006000 is an abundant number, since it is smaller than the sum of its proper divisors (15105637824).

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

6060006000 is a wasteful number, since it uses less digits than its factorization.

6060006000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336696 (or 336677 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 6060006000 is about 77846.0403617294. The cubic root of 6060006000 is about 1823.1581843737.

Adding to 6060006000 its reverse (6000606), we get a palindrome (6066006606).

The spelling of 6060006000 in words is "six billion, sixty million, six thousand", and thus it is an eban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 720 750 900 1000 1125 1200 1500 1800 2000 2250 3000 3600 4500 6000 9000 18000 336667 673334 1010001 1346668 1683335 2020002 2693336 3030003 3366670 4040004 5050005 5386672 6060006 6733340 8080008 8416675 10100010 12120012 13466680 15150015 16160016 16833350 20200020 24240024 25250025 26933360 30300030 33666700 40400040 42083375 48480048 50500050 60600060 67333400 75750075 80800080 84166750 101000100 121200120 126250125 134666800 151500150 168333500 202000200 242400240 252500250 303000300 336667000 378750375 404000400 505000500 606000600 673334000 757500750 1010001000 1212001200 1515001500 2020002000 3030003000 6060006000