Search a number
-
+
1002614117 = 1726156873
BaseRepresentation
bin111011110000101…
…010110101100101
32120212121002000012
4323300222311211
54023132122432
6243253300005
733563036141
oct7360526545
92525532005
101002614117
11474a4990a
1223b934605
1312c943cbb
149722c221
155d04acb2
hex3bc2ad65

1002614117 has 12 divisors (see below), whose sum is σ = 1082539716. Its totient is φ = 928151040.

The previous prime is 1002614113. The next prime is 1002614147. The reversal of 1002614117 is 7114162001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 78393316 + 924220801 = 8854^2 + 30401^2 .

It is not a de Polignac number, because 1002614117 - 22 = 1002614113 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1002614092 and 1002614101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002614113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10808 + ... + 46065.

It is an arithmetic number, because the mean of its divisors is an integer number (90211643).

Almost surely, 21002614117 is an apocalyptic number.

1002614117 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

1002614117 is a deficient number, since it is larger than the sum of its proper divisors (79925599).

1002614117 is an equidigital number, since it uses as much as digits as its factorization.

1002614117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56968 (or 56951 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 23.

The square root of 1002614117 is about 31664.0824436774. The cubic root of 1002614117 is about 1000.8706141444.

Adding to 1002614117 its reverse (7114162001), we get a palindrome (8116776118).

The spelling of 1002614117 in words is "one billion, two million, six hundred fourteen thousand, one hundred seventeen".

Divisors: 1 17 61 289 1037 17629 56873 966841 3469253 16436297 58977301 1002614117