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2004116060 = 225176787977
BaseRepresentation
bin111011101110100…
…0110001001011100
312011200002122101202
41313131012021130
513101023203220
6530511055032
7100443463652
oct16735061134
95150078352
102004116060
119392a9071
1247b211478
1325c2889bb
1415024add2
15bae27275
hex7774625c

2004116060 has 48 divisors (see below), whose sum is σ = 4522773024. Its totient is φ = 743221248.

The previous prime is 2004116047. The next prime is 2004116087. The reversal of 2004116060 is 606114002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21209 + ... + 66768.

It is an arithmetic number, because the mean of its divisors is an integer number (94224438).

Almost surely, 22004116060 is an apocalyptic number.

2004116060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2004116060 is an abundant number, since it is smaller than the sum of its proper divisors (2518656964).

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

2004116060 is a wasteful number, since it uses less digits than its factorization.

2004116060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88070 (or 88068 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 2004116060 is about 44767.3548470311. The cubic root of 2004116060 is about 1260.7847760802.

The spelling of 2004116060 in words is "two billion, four million, one hundred sixteen thousand, sixty".

Divisors: 1 2 4 5 10 17 20 34 67 68 85 134 170 268 335 340 670 1139 1340 2278 4556 5695 11390 22780 87977 175954 351908 439885 879770 1495609 1759540 2991218 5894459 5982436 7478045 11788918 14956090 23577836 29472295 29912180 58944590 100205803 117889180 200411606 400823212 501029015 1002058030 2004116060