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6000066060 = 2235434749481
BaseRepresentation
bin1011001011010000…
…11011111000001100
3120111011011221021220
411211220123320030
544242004103220
62431214123340
7301454501652
oct54550337014
916434157256
106000066060
1125a997648a
1211b54b0550
137480bcb61
1440cc28dd2
15251b4c540
hex165a1be0c

6000066060 has 96 divisors (see below), whose sum is σ = 17557005312. Its totient is φ = 1529525760.

The previous prime is 6000066011. The next prime is 6000066067. The reversal of 6000066060 is 606600006.

It is a self number, because there is not a number n which added to its sum of digits gives 6000066060.

It is not an unprimeable number, because it can be changed into a prime (6000066067) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96520 + ... + 146000.

It is an arithmetic number, because the mean of its divisors is an integer number (182885472).

Almost surely, 26000066060 is an apocalyptic number.

6000066060 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6000066060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8778502656).

6000066060 is an abundant number, since it is smaller than the sum of its proper divisors (11556939252).

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

6000066060 is a wasteful number, since it uses less digits than its factorization.

6000066060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49583 (or 49581 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 6000066060 is about 77460.0933384411. The cubic root of 6000066060 is about 1817.1272616402.

Adding to 6000066060 its reverse (606600006), we get a palindrome (6606666066).

The spelling of 6000066060 in words is "six billion, sixty-six thousand, sixty", and thus it is an eban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 47 60 86 94 129 141 172 188 215 235 258 282 430 470 516 564 645 705 860 940 1290 1410 2021 2580 2820 4042 6063 8084 10105 12126 20210 24252 30315 40420 49481 60630 98962 121260 148443 197924 247405 296886 494810 593772 742215 989620 1484430 2127683 2325607 2968860 4255366 4651214 6383049 6976821 8510732 9302428 10638415 11628035 12766098 13953642 21276830 23256070 25532196 27907284 31915245 34884105 42553660 46512140 63830490 69768210 100001101 127660980 139536420 200002202 300003303 400004404 500005505 600006606 1000011010 1200013212 1500016515 2000022020 3000033030 6000066060