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4286040 = 23351117191
BaseRepresentation
bin10000010110011001011000
322001202100020
4100112121120
52044123130
6231510440
751300513
oct20263130
98052306
104286040
112468190
121528420
13b70b25
147d7d7a
15599e10
hex416658

4286040 has 128 divisors (see below), whose sum is σ = 14929920. Its totient is φ = 972800.

The previous prime is 4286033. The next prime is 4286047. The reversal of 4286040 is 406824.

4286040 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 (4286033) and next prime (4286047).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4286040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4286047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22345 + ... + 22535.

It is an arithmetic number, because the mean of its divisors is an integer number (116640).

Almost surely, 24286040 is an apocalyptic number.

4286040 is a gapful number since it is divisible by the number (40) 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 4286040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7464960).

4286040 is an abundant number, since it is smaller than the sum of its proper divisors (10643880).

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

4286040 is a wasteful number, since it uses less digits than its factorization.

4286040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 4286040 is about 2070.2753440062. The cubic root of 4286040 is about 162.4371670294.

The spelling of 4286040 in words is "four million, two hundred eighty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 17 20 22 24 30 33 34 40 44 51 55 60 66 68 85 88 102 110 120 132 136 165 170 187 191 204 220 255 264 330 340 374 382 408 440 510 561 573 660 680 748 764 935 955 1020 1122 1146 1320 1496 1528 1870 1910 2040 2101 2244 2292 2805 2865 3247 3740 3820 4202 4488 4584 5610 5730 6303 6494 7480 7640 8404 9741 10505 11220 11460 12606 12988 16235 16808 19482 21010 22440 22920 25212 25976 31515 32470 35717 38964 42020 48705 50424 63030 64940 71434 77928 84040 97410 107151 126060 129880 142868 178585 194820 214302 252120 285736 357170 389640 428604 535755 714340 857208 1071510 1428680 2143020 4286040