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3868140 = 2235232803
BaseRepresentation
bin1110110000010111101100
321021112002110
432300113230
51442240030
6214524020
744610243
oct16602754
97245073
103868140
112202211
121366610
13a55853
1472995a
155161b0
hex3b05ec

3868140 has 48 divisors (see below), whose sum is σ = 11305728. Its totient is φ = 986304.

The previous prime is 3868133. The next prime is 3868141. The reversal of 3868140 is 418683.

It is a happy number.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3868098 and 3868107.

It is not an unprimeable number, because it can be changed into a prime (3868141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22 + ... + 2781.

It is an arithmetic number, because the mean of its divisors is an integer number (235536).

Almost surely, 23868140 is an apocalyptic number.

3868140 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 3868140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5652864).

3868140 is an abundant number, since it is smaller than the sum of its proper divisors (7437588).

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

3868140 is a wasteful number, since it uses less digits than its factorization.

3868140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2838 (or 2836 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 3868140 is about 1966.7587549062. The cubic root of 3868140 is about 156.9762902517.

The spelling of 3868140 in words is "three million, eight hundred sixty-eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 2803 5606 8409 11212 14015 16818 28030 33636 42045 56060 64469 84090 128938 168180 193407 257876 322345 386814 644690 773628 967035 1289380 1934070 3868140