Search a number
-
+
3860040 = 2335191693
BaseRepresentation
bin1110101110011001001000
321021002222110
432232121020
51442010130
6214422320
744544522
oct16563110
97232873
103860040
1121a7118
1213619a0
13a51c62
14726a12
15513ab0
hex3ae648

3860040 has 64 divisors (see below), whose sum is σ = 12196800. Its totient is φ = 974592.

The previous prime is 3860039. The next prime is 3860041. The reversal of 3860040 is 400683.

3860040 is digitally balanced in base 2, 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 (3860039) and next prime (3860041).

It is a junction number, because it is equal to n+sod(n) for n = 3859989 and 3860016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3860041) 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 15 ways as a sum of consecutive naturals, for example, 1434 + ... + 3126.

It is an arithmetic number, because the mean of its divisors is an integer number (190575).

Almost surely, 23860040 is an apocalyptic number.

3860040 is a gapful number since it is divisible by the number (30) 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 3860040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6098400).

3860040 is an abundant number, since it is smaller than the sum of its proper divisors (8336760).

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

3860040 is a wasteful number, since it uses less digits than its factorization.

3860040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1726 (or 1722 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 3860040 is about 1964.6984501444. The cubic root of 3860040 is about 156.8666426768.

The spelling of 3860040 in words is "three million, eight hundred sixty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 1693 2280 3386 5079 6772 8465 10158 13544 16930 20316 25395 32167 33860 40632 50790 64334 67720 96501 101580 128668 160835 193002 203160 257336 321670 386004 482505 643340 772008 965010 1286680 1930020 3860040