Search a number
-
+
102982009 = 132609361
BaseRepresentation
bin1100010001101…
…10000101111001
321011210000202111
412020312011321
5202330411014
614115132321
72360222044
oct610660571
9234700674
10102982009
11531489a9
122a5a40a1
1318448c00
14d969c5b
1590932c4
hex6236179

102982009 has 6 divisors (see below), whose sum is σ = 111513246. Its totient is φ = 95060160.

The previous prime is 102982007. The next prime is 102982027. The reversal of 102982009 is 900289201.

It can be written as a sum of positive squares in 3 ways, for example, as 12446784 + 90535225 = 3528^2 + 9515^2 .

It is not a de Polignac number, because 102982009 - 21 = 102982007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102982003) 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 5 ways as a sum of consecutive naturals, for example, 304512 + ... + 304849.

It is an arithmetic number, because the mean of its divisors is an integer number (18585541).

Almost surely, 2102982009 is an apocalyptic number.

It is an amenable number.

102982009 is a deficient number, since it is larger than the sum of its proper divisors (8531237).

102982009 is an equidigital number, since it uses as much as digits as its factorization.

102982009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609387 (or 609374 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 102982009 is about 10148.0051734319. The cubic root of 102982009 is about 468.7275207235.

It can be divided in two parts, 1029 and 82009, that added together give a palindrome (83038).

The spelling of 102982009 in words is "one hundred two million, nine hundred eighty-two thousand, nine".

Divisors: 1 13 169 609361 7921693 102982009