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6066720 = 2532511383
BaseRepresentation
bin10111001001001000100000
3102102012222100
4113021020200
53023113340
6334010400
7102365142
oct27111040
912365870
106066720
113474020
122046a00
13134549a
14b3cc92
157ec830
hex5c9220

6066720 has 144 divisors (see below), whose sum is σ = 22643712. Its totient is φ = 1466880.

The previous prime is 6066707. The next prime is 6066743. The reversal of 6066720 is 276606.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15649 + ... + 16031.

It is an arithmetic number, because the mean of its divisors is an integer number (157248).

Almost surely, 26066720 is an apocalyptic number.

6066720 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 6066720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11321856).

6066720 is an abundant number, since it is smaller than the sum of its proper divisors (16576992).

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

6066720 is a wasteful number, since it uses less digits than its factorization.

6066720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 6066720 is about 2463.0712535369. The cubic root of 6066720 is about 182.3831240158.

It can be divided in two parts, 6066 and 720, that added together give a triangular number (6786 = T116).

The spelling of 6066720 in words is "six million, sixty-six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 55 60 66 72 80 88 90 96 99 110 120 132 144 160 165 176 180 198 220 240 264 288 330 352 360 383 396 440 480 495 528 660 720 766 792 880 990 1056 1149 1320 1440 1532 1584 1760 1915 1980 2298 2640 3064 3168 3447 3830 3960 4213 4596 5280 5745 6128 6894 7660 7920 8426 9192 11490 12256 12639 13788 15320 15840 16852 17235 18384 21065 22980 25278 27576 30640 33704 34470 36768 37917 42130 45960 50556 55152 61280 63195 67408 68940 75834 84260 91920 101112 110304 126390 134816 137880 151668 168520 183840 189585 202224 252780 275760 303336 337040 379170 404448 505560 551520 606672 674080 758340 1011120 1213344 1516680 2022240 3033360 6066720