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3060720 = 2433513109
BaseRepresentation
bin1011101011001111110000
312202111112000
423223033300
51240420340
6145334000
735005245
oct13531760
95674460
103060720
111800623
121037300
138321a0
145995cc
15406d30
hex2eb3f0

3060720 has 160 divisors (see below), whose sum is σ = 11457600. Its totient is φ = 746496.

The previous prime is 3060703. The next prime is 3060749. The reversal of 3060720 is 270603.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3060693 and 3060702.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28026 + ... + 28134.

It is an arithmetic number, because the mean of its divisors is an integer number (71610).

Almost surely, 23060720 is an apocalyptic number.

3060720 is a gapful number since it is divisible by the number (30) 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 3060720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5728800).

3060720 is an abundant number, since it is smaller than the sum of its proper divisors (8396880).

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

3060720 is a wasteful number, since it uses less digits than its factorization.

3060720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 3060720 is about 1749.4913546514. The cubic root of 3060720 is about 145.1915028154.

The spelling of 3060720 in words is "three million, sixty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 36 39 40 45 48 52 54 60 65 72 78 80 90 104 108 109 117 120 130 135 144 156 180 195 208 216 218 234 240 260 270 312 327 351 360 390 432 436 468 520 540 545 585 624 654 702 720 780 872 936 981 1040 1080 1090 1170 1308 1404 1417 1560 1635 1744 1755 1872 1962 2160 2180 2340 2616 2808 2834 2943 3120 3270 3510 3924 4251 4360 4680 4905 5232 5616 5668 5886 6540 7020 7085 7848 8502 8720 9360 9810 11336 11772 12753 13080 14040 14170 14715 15696 17004 19620 21255 22672 23544 25506 26160 28080 28340 29430 34008 38259 39240 42510 47088 51012 56680 58860 63765 68016 76518 78480 85020 102024 113360 117720 127530 153036 170040 191295 204048 235440 255060 306072 340080 382590 510120 612144 765180 1020240 1530360 3060720