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6120060060 = 22356710913967
BaseRepresentation
bin1011011001100100…
…01011010010011100
3120210111222021010010
411230302023102130
5100013213410220
62451142043220
7304442436462
oct55462132234
916714867103
106120060060
112660683784
121229719510
13766c1411a
14420b42832
1525c4511e0
hex16cc8b49c

6120060060 has 96 divisors (see below), whose sum is σ = 17552747520. Its totient is φ = 1592794368.

The previous prime is 6120060053. The next prime is 6120060101. The reversal of 6120060060 is 600600216.

6120060060 is a modest number, since divided by 60060 gives 6120 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 431197 + ... + 445163.

It is an arithmetic number, because the mean of its divisors is an integer number (182841120).

Almost surely, 26120060060 is an apocalyptic number.

6120060060 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 6120060060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8776373760).

6120060060 is an abundant number, since it is smaller than the sum of its proper divisors (11432687460).

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

6120060060 is a wasteful number, since it uses less digits than its factorization.

6120060060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14155 (or 14153 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 6120060060 is about 78230.8127274669. The cubic root of 6120060060 is about 1829.1608383425.

Adding to 6120060060 its reverse (600600216), we get a palindrome (6720660276).

The spelling of 6120060060 in words is "six billion, one hundred twenty million, sixty thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 109 134 201 218 268 327 335 402 436 545 654 670 804 1005 1090 1308 1340 1635 2010 2180 3270 4020 6540 7303 13967 14606 21909 27934 29212 36515 41901 43818 55868 69835 73030 83802 87636 109545 139670 146060 167604 209505 219090 279340 419010 438180 838020 935789 1522403 1871578 2807367 3044806 3743156 4567209 4678945 5614734 6089612 7612015 9134418 9357890 11229468 14036835 15224030 18268836 18715780 22836045 28073670 30448060 45672090 56147340 91344180 102001001 204002002 306003003 408004004 510005005 612006006 1020010010 1224012012 1530015015 2040020020 3060030030 6120060060