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4064320 = 26513977
BaseRepresentation
bin1111100000010001000000
321122111012101
433200101000
52020024240
6223040144
746355221
oct17402100
97574171
104064320
112326647
121440054
13ac3c30
1477b248
1555439a
hex3e0440

4064320 has 56 divisors (see below), whose sum is σ = 10433304. Its totient is φ = 1499136.

The previous prime is 4064311. The next prime is 4064323. The reversal of 4064320 is 234604.

It can be written as a sum of positive squares in 4 ways, for example, as 589824 + 3474496 = 768^2 + 1864^2 .

It is not an unprimeable number, because it can be changed into a prime (4064323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3672 + ... + 4648.

It is an arithmetic number, because the mean of its divisors is an integer number (186309).

Almost surely, 24064320 is an apocalyptic number.

4064320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4064320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5216652).

4064320 is an abundant number, since it is smaller than the sum of its proper divisors (6368984).

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

4064320 is a wasteful number, since it uses less digits than its factorization.

4064320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 4064320 is about 2016.0158729534. The cubic root of 4064320 is about 159.5864319301.

Adding to 4064320 its reverse (234604), we get a palindrome (4298924).

The spelling of 4064320 in words is "four million, sixty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 977 1040 1954 2080 3908 4160 4885 7816 9770 12701 15632 19540 25402 31264 39080 50804 62528 63505 78160 101608 127010 156320 203216 254020 312640 406432 508040 812864 1016080 2032160 4064320