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6068100 = 22352113179
BaseRepresentation
bin10111001001011110000100
3102102021212110
4113021132010
53023134400
6334021020
7102402153
oct27113604
912367773
106068100
113475065
122047770
131345cbc
14b3d59a
157ece50
hex5c9784

6068100 has 72 divisors (see below), whose sum is σ = 17811360. Its totient is φ = 1594880.

The previous prime is 6068093. The next prime is 6068119. The reversal of 6068100 is 18606.

It is a super-2 number, since 2×60681002 = 73643675220000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33811 + ... + 33989.

It is an arithmetic number, because the mean of its divisors is an integer number (247380).

Almost surely, 26068100 is an apocalyptic number.

6068100 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 6068100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8905680).

6068100 is an abundant number, since it is smaller than the sum of its proper divisors (11743260).

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

6068100 is a wasteful number, since it uses less digits than its factorization.

6068100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 6068100 is about 2463.3513756669. The cubic root of 6068100 is about 182.3969518958.

The spelling of 6068100 in words is "six million, sixty-eight thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 113 150 179 226 300 339 358 452 537 565 678 716 895 1074 1130 1356 1695 1790 2148 2260 2685 2825 3390 3580 4475 5370 5650 6780 8475 8950 10740 11300 13425 16950 17900 20227 26850 33900 40454 53700 60681 80908 101135 121362 202270 242724 303405 404540 505675 606810 1011350 1213620 1517025 2022700 3034050 6068100