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3980064 = 253113769
BaseRepresentation
bin1111001011101100100000
321111012121210
433023230200
52004330224
6221150120
745554454
oct17135440
97435553
103980064
112279310
1213bb340
13a9478a
14758664
15539429
hex3cbb20

3980064 has 48 divisors (see below), whose sum is σ = 11400480. Its totient is φ = 1205760.

The previous prime is 3980051. The next prime is 3980069. The reversal of 3980064 is 4600893.

3980064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (3980069) 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, 829 + ... + 2940.

It is an arithmetic number, because the mean of its divisors is an integer number (237510).

Almost surely, 23980064 is an apocalyptic number.

It is an amenable number.

3980064 is an abundant number, since it is smaller than the sum of its proper divisors (7420416).

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

3980064 is a wasteful number, since it uses less digits than its factorization.

3980064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3793 (or 3785 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 3980064 is about 1995.0097744121. The cubic root of 3980064 is about 158.4759456243.

The spelling of 3980064 in words is "three million, nine hundred eighty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 3769 7538 11307 15076 22614 30152 41459 45228 60304 82918 90456 120608 124377 165836 180912 248754 331672 361824 497508 663344 995016 1326688 1990032 3980064