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4120064 = 2913619
BaseRepresentation
bin1111101101111000000000
321202022122222
433231320000
52023320224
6224150212
750006564
oct17557000
97668588
104120064
112364513
121468368
13b13410
147936a4
15565b5e
hex3ede00

4120064 has 40 divisors (see below), whose sum is σ = 8879640. Its totient is φ = 1898496.

The previous prime is 4120033. The next prime is 4120079. The reversal of 4120064 is 4600214.

4120064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 6347 + ... + 6965.

It is an arithmetic number, because the mean of its divisors is an integer number (221991).

Almost surely, 24120064 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 4120064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4439820).

4120064 is an abundant number, since it is smaller than the sum of its proper divisors (4759576).

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

4120064 is an equidigital number, since it uses as much as digits as its factorization.

4120064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 4120064 is about 2029.7940782257. The cubic root of 4120064 is about 160.3127217172.

Adding to 4120064 its reverse (4600214), we get a palindrome (8720278).

The spelling of 4120064 in words is "four million, one hundred twenty thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 619 832 1238 1664 2476 3328 4952 6656 8047 9904 16094 19808 32188 39616 64376 79232 128752 158464 257504 316928 515008 1030016 2060032 4120064