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3895040 = 28517179
BaseRepresentation
bin1110110110111100000000
321022212222202
432312330000
51444120130
6215252332
745051542
oct16667400
97285882
103895040
112220446
12137a0a8
13a64b76
14735692
1551e145
hex3b6f00

3895040 has 72 divisors (see below), whose sum is σ = 9933840. Its totient is φ = 1458176.

The previous prime is 3895039. The next prime is 3895043. The reversal of 3895040 is 405983.

3895040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3894994 and 3895012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3895043) 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 7 ways as a sum of consecutive naturals, for example, 21671 + ... + 21849.

It is an arithmetic number, because the mean of its divisors is an integer number (137970).

Almost surely, 23895040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3895040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4966920).

3895040 is an abundant number, since it is smaller than the sum of its proper divisors (6038800).

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

3895040 is a wasteful number, since it uses less digits than its factorization.

3895040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 3895040 is about 1973.5855694649. The cubic root of 3895040 is about 157.3393339344.

The spelling of 3895040 in words is "three million, eight hundred ninety-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 179 256 272 320 340 358 544 640 680 716 895 1088 1280 1360 1432 1790 2176 2720 2864 3043 3580 4352 5440 5728 6086 7160 10880 11456 12172 14320 15215 21760 22912 24344 28640 30430 45824 48688 57280 60860 97376 114560 121720 194752 229120 243440 389504 486880 779008 973760 1947520 3895040