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4066860 = 2235723421
BaseRepresentation
bin1111100000111000101100
321122121200110
433200320230
52020114420
6223100020
746365510
oct17407054
97577613
104066860
112328546
121441610
13ac5135
1477c140
15554ee0
hex3e0e2c

4066860 has 96 divisors (see below), whose sum is σ = 13612032. Its totient is φ = 887040.

The previous prime is 4066847. The next prime is 4066861. The reversal of 4066860 is 686604.

It is a happy number.

4066860 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 (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4066861) 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, 9450 + ... + 9870.

It is an arithmetic number, because the mean of its divisors is an integer number (141792).

Almost surely, 24066860 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 4066860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6806016).

4066860 is an abundant number, since it is smaller than the sum of its proper divisors (9545172).

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

4066860 is a wasteful number, since it uses less digits than its factorization.

4066860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 4066860 is about 2016.6457299189. The cubic root of 4066860 is about 159.6196695628.

The spelling of 4066860 in words is "four million, sixty-six thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 23 28 30 35 42 46 60 69 70 84 92 105 115 138 140 161 210 230 276 322 345 420 421 460 483 644 690 805 842 966 1263 1380 1610 1684 1932 2105 2415 2526 2947 3220 4210 4830 5052 5894 6315 8420 8841 9660 9683 11788 12630 14735 17682 19366 25260 29049 29470 35364 38732 44205 48415 58098 58940 67781 88410 96830 116196 135562 145245 176820 193660 203343 271124 290490 338905 406686 580980 677810 813372 1016715 1355620 2033430 4066860