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2821280 = 255711229
BaseRepresentation
bin1010110000110010100000
312022100001212
422300302200
51210240110
6140245252
732660210
oct12606240
95270055
102821280
111657740
12b40828
1377a1c7
14536240
153aae05
hex2b0ca0

2821280 has 96 divisors (see below), whose sum is σ = 8346240. Its totient is φ = 875520.

The previous prime is 2821277. The next prime is 2821289. The reversal of 2821280 is 821282.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2821289) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12206 + ... + 12434.

It is an arithmetic number, because the mean of its divisors is an integer number (86940).

22821280 is an apocalyptic number.

2821280 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 2821280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4173120).

2821280 is an abundant number, since it is smaller than the sum of its proper divisors (5524960).

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

2821280 is a wasteful number, since it uses less digits than its factorization.

2821280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 2821280 is about 1679.6666335913. Note that the first 4 decimals coincide. The cubic root of 2821280 is about 141.3021370171.

The spelling of 2821280 in words is "two million, eight hundred twenty-one thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 70 77 80 88 110 112 140 154 160 176 220 224 229 280 308 352 385 440 458 560 616 770 880 916 1120 1145 1232 1540 1603 1760 1832 2290 2464 2519 3080 3206 3664 4580 5038 6160 6412 7328 8015 9160 10076 12320 12595 12824 16030 17633 18320 20152 25190 25648 32060 35266 36640 40304 50380 51296 64120 70532 80608 88165 100760 128240 141064 176330 201520 256480 282128 352660 403040 564256 705320 1410640 2821280