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3876140 = 2252941163
BaseRepresentation
bin1110110010010100101100
321021221001202
432302110230
51443014030
6215025032
744642462
oct16622454
97257052
103876140
112208224
12136b178
13a59398
1472c832
15518745
hex3b252c

3876140 has 48 divisors (see below), whose sum is σ = 8678880. Its totient is φ = 1451520.

The previous prime is 3876109. The next prime is 3876143. The reversal of 3876140 is 416783.

3876140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×38761402 = 30048922599200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (3876143) 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, 23699 + ... + 23861.

It is an arithmetic number, because the mean of its divisors is an integer number (180810).

Almost surely, 23876140 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 3876140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4339440).

3876140 is an abundant number, since it is smaller than the sum of its proper divisors (4802740).

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

3876140 is a wasteful number, since it uses less digits than its factorization.

3876140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 3876140 is about 1968.7915074990. The cubic root of 3876140 is about 157.0844340080.

The spelling of 3876140 in words is "three million, eight hundred seventy-six thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 29 41 58 82 116 145 163 164 205 290 326 410 580 652 815 820 1189 1630 2378 3260 4727 4756 5945 6683 9454 11890 13366 18908 23635 23780 26732 33415 47270 66830 94540 133660 193807 387614 775228 969035 1938070 3876140