Search a number
-
+
10730120 = 235268253
BaseRepresentation
bin101000111011…
…101010001000
3202012010221212
4220323222020
510221330440
61021552252
7160130102
oct50735210
922163855
1010730120
116069775
123715688
1322b8cab
1415d4572
15e1e465
hexa3ba88

10730120 has 16 divisors (see below), whose sum is σ = 24142860. Its totient is φ = 4292032.

The previous prime is 10730119. The next prime is 10730129. The reversal of 10730120 is 2103701.

It can be written as a sum of positive squares in 2 ways, for example, as 10099684 + 630436 = 3178^2 + 794^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10730095 and 10730104.

It is not an unprimeable number, because it can be changed into a prime (10730129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 134087 + ... + 134166.

Almost surely, 210730120 is an apocalyptic number.

10730120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10730120 is an abundant number, since it is smaller than the sum of its proper divisors (13412740).

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

10730120 is a wasteful number, since it uses less digits than its factorization.

10730120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268264 (or 268260 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 14.

The square root of 10730120 is about 3275.6861876560. The cubic root of 10730120 is about 220.5641170110.

Adding to 10730120 its reverse (2103701), we get a palindrome (12833821).

The spelling of 10730120 in words is "ten million, seven hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 268253 536506 1073012 1341265 2146024 2682530 5365060 10730120