Search a number
-
+
2830080 = 28351167
BaseRepresentation
bin1010110010111100000000
312022210010210
422302330000
51211030310
6140354120
733024651
oct12627400
95283123
102830080
111663310
12b45940
13781206
14539528
153ad820
hex2b2f00

2830080 has 144 divisors (see below), whose sum is σ = 10007424. Its totient is φ = 675840.

The previous prime is 2830073. The next prime is 2830097. The reversal of 2830080 is 800382.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42207 + ... + 42273.

It is an arithmetic number, because the mean of its divisors is an integer number (69496).

22830080 is an apocalyptic number.

2830080 is a gapful number since it is divisible by the number (20) 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 2830080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5003712).

2830080 is an abundant number, since it is smaller than the sum of its proper divisors (7177344).

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

2830080 is a wasteful number, since it uses less digits than its factorization.

2830080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 2830080 is about 1682.2841614900. The cubic root of 2830080 is about 141.4488987938.

The spelling of 2830080 in words is "two million, eight hundred thirty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 67 80 88 96 110 120 128 132 134 160 165 176 192 201 220 240 256 264 268 320 330 335 352 384 402 440 480 528 536 640 660 670 704 737 768 804 880 960 1005 1056 1072 1280 1320 1340 1408 1474 1608 1760 1920 2010 2112 2144 2211 2640 2680 2816 2948 3216 3520 3685 3840 4020 4224 4288 4422 5280 5360 5896 6432 7040 7370 8040 8448 8576 8844 10560 10720 11055 11792 12864 14080 14740 16080 17152 17688 21120 21440 22110 23584 25728 29480 32160 35376 42240 42880 44220 47168 51456 58960 64320 70752 85760 88440 94336 117920 128640 141504 176880 188672 235840 257280 283008 353760 471680 566016 707520 943360 1415040 2830080