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2884140 = 2233572109
BaseRepresentation
bin1011000000001000101100
312102112022000
423000020230
51214243030
6141452300
733341400
oct13001054
95375260
102884140
11169a996
12b71090
1379c9bc
14551100
153be860
hex2c022c

2884140 has 144 divisors (see below), whose sum is σ = 10533600. Its totient is φ = 653184.

The previous prime is 2884129. The next prime is 2884151. The reversal of 2884140 is 414882.

2884140 = T41 + T42 + ... + T258.

2884140 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2884129) and next prime (2884151).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26406 + ... + 26514.

It is an arithmetic number, because the mean of its divisors is an integer number (73150).

22884140 is an apocalyptic number.

2884140 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 2884140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5266800).

2884140 is an abundant number, since it is smaller than the sum of its proper divisors (7649460).

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

2884140 is a wasteful number, since it uses less digits than its factorization.

2884140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 2884140 is about 1698.2755960091. The cubic root of 2884140 is about 142.3438733274.

The spelling of 2884140 in words is "two million, eight hundred eighty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 49 54 60 63 70 84 90 98 105 108 109 126 135 140 147 180 189 196 210 218 245 252 270 294 315 327 378 420 436 441 490 540 545 588 630 654 735 756 763 882 945 980 981 1090 1260 1308 1323 1470 1526 1635 1764 1890 1962 2180 2205 2289 2646 2940 2943 3052 3270 3780 3815 3924 4410 4578 4905 5292 5341 5886 6540 6615 6867 7630 8820 9156 9810 10682 11445 11772 13230 13734 14715 15260 16023 19620 20601 21364 22890 26460 26705 27468 29430 32046 34335 41202 45780 48069 53410 58860 64092 68670 80115 82404 96138 103005 106820 137340 144207 160230 192276 206010 240345 288414 320460 412020 480690 576828 721035 961380 1442070 2884140