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6082920 = 2332561277
BaseRepresentation
bin10111001101000101101000
3102110001012100
4113031011220
53024123140
6334213400
7102463314
oct27150550
912401170
106082920
113485208
122054260
13134c97c
14b44b44
15802530
hex5cd168

6082920 has 96 divisors (see below), whose sum is σ = 20166120. Its totient is φ = 1589760.

The previous prime is 6082891. The next prime is 6082939. The reversal of 6082920 is 292806.

6082920 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2090916 + 3992004 = 1446^2 + 1998^2 .

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, 21822 + ... + 22098.

Almost surely, 26082920 is an apocalyptic number.

6082920 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 6082920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10083060).

6082920 is an abundant number, since it is smaller than the sum of its proper divisors (14083200).

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

6082920 is a wasteful number, since it uses less digits than its factorization.

6082920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 6082920 is about 2466.3576382998. The cubic root of 6082920 is about 182.5453193262.

The spelling of 6082920 in words is "six million, eighty-two thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 61 72 90 120 122 180 183 244 277 305 360 366 488 549 554 610 732 831 915 1098 1108 1220 1385 1464 1662 1830 2196 2216 2440 2493 2745 2770 3324 3660 4155 4392 4986 5490 5540 6648 7320 8310 9972 10980 11080 12465 16620 16897 19944 21960 24930 33240 33794 49860 50691 67588 84485 99720 101382 135176 152073 168970 202764 253455 304146 337940 405528 506910 608292 675880 760365 1013820 1216584 1520730 2027640 3041460 6082920