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3995840 = 26512487
BaseRepresentation
bin1111001111100011000000
321112000021002
433033203000
52010331330
6221351132
745651452
oct17174300
97460232
103995840
11228a152
1214084a8
13a9ba04
147602d2
1553de45
hex3cf8c0

3995840 has 28 divisors (see below), whose sum is σ = 9515856. Its totient is φ = 1598208.

The previous prime is 3995837. The next prime is 3995843. The reversal of 3995840 is 485993.

3995840 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 (3995837) and next prime (3995843).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 3995794 and 3995803.

It is not an unprimeable number, because it can be changed into a prime (3995843) 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 3 ways as a sum of consecutive naturals, for example, 5924 + ... + 6563.

It is an arithmetic number, because the mean of its divisors is an integer number (339852).

Almost surely, 23995840 is an apocalyptic number.

It is an amenable number.

3995840 is an abundant number, since it is smaller than the sum of its proper divisors (5520016).

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

3995840 is a wasteful number, since it uses less digits than its factorization.

3995840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12504 (or 12494 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The square root of 3995840 is about 1998.9597294593. The cubic root of 3995840 is about 158.6850562056.

The spelling of 3995840 in words is "three million, nine hundred ninety-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 12487 24974 49948 62435 99896 124870 199792 249740 399584 499480 799168 998960 1997920 3995840