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2824140 = 2235112389
BaseRepresentation
bin1010110001011111001100
312022110222210
422301133030
51210333030
6140310420
733001434
oct12613714
95273883
102824140
111659900
12b42410
1377b5b7
145372c4
153abbb0
hex2b17cc

2824140 has 72 divisors (see below), whose sum is σ = 8714160. Its totient is φ = 682880.

The previous prime is 2824139. The next prime is 2824163. The reversal of 2824140 is 414282.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7066 + ... + 7454.

It is an arithmetic number, because the mean of its divisors is an integer number (121030).

22824140 is an apocalyptic number.

2824140 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 2824140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4357080).

2824140 is an abundant number, since it is smaller than the sum of its proper divisors (5890020).

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

2824140 is a wasteful number, since it uses less digits than its factorization.

2824140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 2824140 is about 1680.5177773532. The cubic root of 2824140 is about 141.3498680271.

The spelling of 2824140 in words is "two million, eight hundred twenty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 389 484 605 660 726 778 1167 1210 1452 1556 1815 1945 2334 2420 3630 3890 4279 4668 5835 7260 7780 8558 11670 12837 17116 21395 23340 25674 42790 47069 51348 64185 85580 94138 128370 141207 188276 235345 256740 282414 470690 564828 706035 941380 1412070 2824140