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10247140 = 2254211217
BaseRepresentation
bin100111000101…
…101111100100
3201021121102201
4213011233210
510110402030
61003344244
7153046021
oct47055744
921247381
1010247140
115869912
123522084
13217a1c7
14150a548
15d762ca
hex9c5be4

10247140 has 24 divisors (see below), whose sum is σ = 21587832. Its totient is φ = 4085760.

The previous prime is 10247131. The next prime is 10247191. The reversal of 10247140 is 4174201.

It can be written as a sum of positive squares in 4 ways, for example, as 147456 + 10099684 = 384^2 + 3178^2 .

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, 7812 + ... + 9028.

It is an arithmetic number, because the mean of its divisors is an integer number (899493).

Almost surely, 210247140 is an apocalyptic number.

10247140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10247140 is an abundant number, since it is smaller than the sum of its proper divisors (11340692).

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

10247140 is a wasteful number, since it uses less digits than its factorization.

10247140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1647 (or 1645 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 10247140 is about 3201.1154305960. The cubic root of 10247140 is about 217.2038688041.

The spelling of 10247140 in words is "ten million, two hundred forty-seven thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 421 842 1217 1684 2105 2434 4210 4868 6085 8420 12170 24340 512357 1024714 2049428 2561785 5123570 10247140