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10305440 = 255292221
BaseRepresentation
bin100111010011…
…111110100000
3201101120101222
4213103332200
510114233230
61004514212
7153411005
oct47237640
921346358
1010305440
1158a96a2
12354b968
13219a8c2
1415238ac
15d886e5
hex9d3fa0

10305440 has 48 divisors (see below), whose sum is σ = 25197480. Its totient is φ = 3978240.

The previous prime is 10305439. The next prime is 10305461. The reversal of 10305440 is 4450301.

It can be written as a sum of positive squares in 4 ways, for example, as 9024016 + 1281424 = 3004^2 + 1132^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3530 + ... + 5750.

Almost surely, 210305440 is an apocalyptic number.

10305440 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 10305440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12598740).

10305440 is an abundant number, since it is smaller than the sum of its proper divisors (14892040).

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

10305440 is a wasteful number, since it uses less digits than its factorization.

10305440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2265 (or 2257 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 10305440 is about 3210.2087159560. The cubic root of 10305440 is about 217.6150094174.

Adding to 10305440 its reverse (4450301), we get a palindrome (14755741).

The spelling of 10305440 in words is "ten million, three hundred five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 464 580 928 1160 2221 2320 4442 4640 8884 11105 17768 22210 35536 44420 64409 71072 88840 128818 177680 257636 322045 355360 515272 644090 1030544 1288180 2061088 2576360 5152720 10305440