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6000006060 = 22325167199601
BaseRepresentation
bin1011001011010000…
…01101001110101100
3120111011001212222200
411211220031032230
544242000143220
62431212541500
7301454132016
oct54550151654
916434055880
106000006060
1125a99353a4
1211b5481890
1374809b759
1440cc111b6
15251b39890
hex165a0d3ac

6000006060 has 72 divisors (see below), whose sum is σ = 18309092256. Its totient is φ = 1590412800.

The previous prime is 6000006049. The next prime is 6000006071. The reversal of 6000006060 is 606000006.

6000006060 is a `hidden beast` number, since 60 + 0 + 0 + 0 + 0 + 606 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6000006049) and next prime (6000006071).

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.

6000006060 is a modest number, since divided by 6060 gives 60 as remainder.

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, 69741 + ... + 129860.

It is an arithmetic number, because the mean of its divisors is an integer number (254292948).

Almost surely, 26000006060 is an apocalyptic number.

6000006060 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6000006060 is an abundant number, since it is smaller than the sum of its proper divisors (12309086196).

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

6000006060 is a wasteful number, since it uses less digits than its factorization.

6000006060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199783 (or 199778 counting only the distinct ones).

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

The square root of 6000006060 is about 77459.7060412703. The cubic root of 6000006060 is about 1817.1212045959.

Adding to 6000006060 its reverse (606000006), we get a palindrome (6606006066).

The spelling of 6000006060 in words is "six billion, six thousand, sixty", and thus it is an eban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 167 180 334 501 668 835 1002 1503 1670 2004 2505 3006 3340 5010 6012 7515 10020 15030 30060 199601 399202 598803 798404 998005 1197606 1796409 1996010 2395212 2994015 3592818 3992020 5988030 7185636 8982045 11976060 17964090 33333367 35928180 66666734 100000101 133333468 166666835 200000202 300000303 333333670 400000404 500000505 600000606 666667340 1000001010 1200001212 1500001515 2000002020 3000003030 6000006060