Search a number
-
+
10207717 = 133172477
BaseRepresentation
bin100110111100…
…000111100101
3201012121100121
4212330013211
510103121332
61002441541
7152523052
oct46740745
921177317
1010207717
115842233
1235032b1
132165290
1414da029
15d69797
hex9bc1e5

10207717 has 8 divisors (see below), whose sum is σ = 11032056. Its totient is φ = 9388992.

The previous prime is 10207697. The next prime is 10207723. The reversal of 10207717 is 71770201.

It can be written as a sum of positive squares in 4 ways, for example, as 57121 + 10150596 = 239^2 + 3186^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10207717 - 211 = 10205669 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10207691 and 10207700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10207777) 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 7 ways as a sum of consecutive naturals, for example, 2883 + ... + 5359.

It is an arithmetic number, because the mean of its divisors is an integer number (1379007).

Almost surely, 210207717 is an apocalyptic number.

It is an amenable number.

10207717 is a deficient number, since it is larger than the sum of its proper divisors (824339).

10207717 is a wasteful number, since it uses less digits than its factorization.

10207717 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2807.

The product of its (nonzero) digits is 686, while the sum is 25.

The square root of 10207717 is about 3194.9517993234. The cubic root of 10207717 is about 216.9249671568.

Adding to 10207717 its reverse (71770201), we get a palindrome (81977918).

The spelling of 10207717 in words is "ten million, two hundred seven thousand, seven hundred seventeen".

Divisors: 1 13 317 2477 4121 32201 785209 10207717