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2865240 = 233357379
BaseRepresentation
bin1010111011100001011000
312101120101000
422323201120
51213141430
6141225000
733232320
oct12734130
95346330
102865240
111687774
12b62160
13794211
14548280
153b8e60
hex2bb858

2865240 has 128 divisors (see below), whose sum is σ = 10944000. Its totient is φ = 653184.

The previous prime is 2865211. The next prime is 2865241. The reversal of 2865240 is 425682.

2865240 is a `hidden beast` number, since 2 + 8 + 652 + 4 + 0 = 666.

2865240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2865241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7371 + ... + 7749.

It is an arithmetic number, because the mean of its divisors is an integer number (85500).

22865240 is an apocalyptic number.

2865240 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 2865240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5472000).

2865240 is an abundant number, since it is smaller than the sum of its proper divisors (8078760).

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

2865240 is a wasteful number, since it uses less digits than its factorization.

2865240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2865240 is about 1692.7019820394. The cubic root of 2865240 is about 142.0322613996.

The spelling of 2865240 in words is "two million, eight hundred sixty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 379 420 504 540 630 756 758 840 945 1080 1137 1260 1512 1516 1890 1895 2274 2520 2653 3032 3411 3780 3790 4548 5306 5685 6822 7560 7580 7959 9096 10233 10612 11370 13265 13644 15160 15918 17055 20466 21224 22740 23877 26530 27288 31836 34110 39795 40932 45480 47754 51165 53060 63672 68220 71631 79590 81864 95508 102330 106120 119385 136440 143262 159180 191016 204660 238770 286524 318360 358155 409320 477540 573048 716310 955080 1432620 2865240