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10328064 = 2113412
BaseRepresentation
bin100111011001…
…100000000000
3201102201102220
4213121200000
510120444224
61005211040
7153533655
oct47314000
921381386
1010328064
11591469a
123560a80
1321a7ca6
14152bc2c
15d90279
hex9d9800

10328064 has 72 divisors (see below), whose sum is σ = 28222740. Its totient is φ = 3358720.

The previous prime is 10328063. The next prime is 10328083. The reversal of 10328064 is 46082301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10328063) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 251884 + ... + 251924.

Almost surely, 210328064 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 10328064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14111370).

10328064 is an abundant number, since it is smaller than the sum of its proper divisors (17894676).

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

10328064 is an frugal number, since it uses more digits than its factorization.

10328064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 10328064 is about 3213.7305425315. The cubic root of 10328064 is about 217.7741397267.

Multiplying 10328064 by its sum of digits (24), we get a square (247873536 = 157442).

10328064 divided by its sum of digits (24) gives a square (430336 = 6562).

The spelling of 10328064 in words is "ten million, three hundred twenty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 256 328 384 492 512 656 768 984 1024 1312 1536 1681 1968 2048 2624 3072 3362 3936 5043 5248 6144 6724 7872 10086 10496 13448 15744 20172 20992 26896 31488 40344 41984 53792 62976 80688 83968 107584 125952 161376 215168 251904 322752 430336 645504 860672 1291008 1721344 2582016 3442688 5164032 10328064