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3979040 = 255131913
BaseRepresentation
bin1111001011011100100000
321111011012212
433023130200
52004312130
6221141252
745551462
oct17133440
97434185
103979040
11227856a
1213ba828
13a94180
14758132
15538e95
hex3cb720

3979040 has 48 divisors (see below), whose sum is σ = 10128888. Its totient is φ = 1468416.

The previous prime is 3979039. The next prime is 3979043. The reversal of 3979040 is 409793.

It is a happy number.

3979040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3225616 + 753424 = 1796^2 + 868^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 3978988 and 3979006.

It is not an unprimeable number, because it can be changed into a prime (3979043) 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 7 ways as a sum of consecutive naturals, for example, 1124 + ... + 3036.

Almost surely, 23979040 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 3979040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5064444).

3979040 is an abundant number, since it is smaller than the sum of its proper divisors (6149848).

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

3979040 is a wasteful number, since it uses less digits than its factorization.

3979040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1941 (or 1933 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 32.

The square root of 3979040 is about 1994.7531175562. The cubic root of 3979040 is about 158.4623534403.

The spelling of 3979040 in words is "three million, nine hundred seventy-nine thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 1913 2080 3826 7652 9565 15304 19130 24869 30608 38260 49738 61216 76520 99476 124345 153040 198952 248690 306080 397904 497380 795808 994760 1989520 3979040