Search a number
-
+
3090360 = 2335713283
BaseRepresentation
bin1011110010011110111000
312211000011210
423302132320
51242342420
6150123120
735160540
oct13623670
95730153
103090360
111820919
1210504a0
13842820
145a6320
154109e0
hex2f27b8

3090360 has 128 divisors (see below), whose sum is σ = 11450880. Its totient is φ = 649728.

The previous prime is 3090337. The next prime is 3090371. The reversal of 3090360 is 630903.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 10779 + ... + 11061.

It is an arithmetic number, because the mean of its divisors is an integer number (89460).

Almost surely, 23090360 is an apocalyptic number.

3090360 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 3090360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5725440).

3090360 is an abundant number, since it is smaller than the sum of its proper divisors (8360520).

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

3090360 is a wasteful number, since it uses less digits than its factorization.

3090360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

The square root of 3090360 is about 1757.9419785647. The cubic root of 3090360 is about 145.6586759844.

The spelling of 3090360 in words is "three million, ninety thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 20 21 24 26 28 30 35 39 40 42 52 56 60 65 70 78 84 91 104 105 120 130 140 156 168 182 195 210 260 273 280 283 312 364 390 420 455 520 546 566 728 780 840 849 910 1092 1132 1365 1415 1560 1698 1820 1981 2184 2264 2730 2830 3396 3640 3679 3962 4245 5460 5660 5943 6792 7358 7924 8490 9905 10920 11037 11320 11886 14716 15848 16980 18395 19810 22074 23772 25753 29432 29715 33960 36790 39620 44148 47544 51506 55185 59430 73580 77259 79240 88296 103012 110370 118860 128765 147160 154518 206024 220740 237720 257530 309036 386295 441480 515060 618072 772590 1030120 1545180 3090360