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2803080 = 233574771
BaseRepresentation
bin1010101100010110001000
312021102002210
422230112020
51204144310
6140025120
732553150
oct12542610
95242083
102803080
111644aa5
12b321a0
13771b37
1452d760
153a5820
hex2ac588

2803080 has 128 divisors (see below), whose sum is σ = 9953280. Its totient is φ = 618240.

The previous prime is 2803069. The next prime is 2803081. The reversal of 2803080 is 803082.

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

2803080 is a modest number, since divided by 3080 gives 280 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2803081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39445 + ... + 39515.

It is an arithmetic number, because the mean of its divisors is an integer number (77760).

22803080 is an apocalyptic number.

2803080 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 2803080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4976640).

2803080 is an abundant number, since it is smaller than the sum of its proper divisors (7150200).

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

2803080 is a wasteful number, since it uses less digits than its factorization.

2803080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 135 counting only the distinct ones).

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

The square root of 2803080 is about 1674.2401261468. The cubic root of 2803080 is about 140.9976358942.

The spelling of 2803080 in words is "two million, eight hundred three thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 47 56 60 70 71 84 94 105 120 140 141 142 168 188 210 213 235 280 282 284 329 355 376 420 426 470 497 564 568 658 705 710 840 852 940 987 994 1065 1128 1316 1410 1420 1491 1645 1704 1880 1974 1988 2130 2485 2632 2820 2840 2982 3290 3337 3948 3976 4260 4935 4970 5640 5964 6580 6674 7455 7896 8520 9870 9940 10011 11928 13160 13348 14910 16685 19740 19880 20022 23359 26696 29820 33370 39480 40044 46718 50055 59640 66740 70077 80088 93436 100110 116795 133480 140154 186872 200220 233590 280308 350385 400440 467180 560616 700770 934360 1401540 2803080