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10328300 = 2252179577
BaseRepresentation
bin100111011001…
…100011101100
3201102201202122
4213121203230
510121001200
61005212112
7153534443
oct47314354
921381678
1010328300
115914894
123561038
1321a8128
14152bd5a
15d90385
hex9d98ec

10328300 has 36 divisors (see below), whose sum is σ = 22576680. Its totient is φ = 4101120.

The previous prime is 10328257. The next prime is 10328303. The reversal of 10328300 is 382301.

It is not an unprimeable number, because it can be changed into a prime (10328303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17612 + ... + 18188.

It is an arithmetic number, because the mean of its divisors is an integer number (627130).

Almost surely, 210328300 is an apocalyptic number.

10328300 is a gapful number since it is divisible by the number (10) 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 10328300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11288340).

10328300 is an abundant number, since it is smaller than the sum of its proper divisors (12248380).

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

10328300 is a wasteful number, since it uses less digits than its factorization.

10328300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 10328300 is about 3213.7672597747. The cubic root of 10328300 is about 217.7757984533.

The spelling of 10328300 in words is "ten million, three hundred twenty-eight thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 179 358 577 716 895 1154 1790 2308 2885 3580 4475 5770 8950 11540 14425 17900 28850 57700 103283 206566 413132 516415 1032830 2065660 2582075 5164150 10328300