Search a number
-
+
146518209 = 32971571069
BaseRepresentation
bin10001011101110…
…11000011000001
3101012200220012100
420232323003001
5300002040314
622312221013
73426245535
oct1056730301
9335626170
10146518209
1175784332
124109a769
1324480186
141565dbc5
15cce2c09
hex8bbb0c1

146518209 has 24 divisors (see below), whose sum is σ = 215382440. Its totient is φ = 95966208.

The previous prime is 146518193. The next prime is 146518241. The reversal of 146518209 is 902815641.

It can be written as a sum of positive squares in 4 ways, for example, as 8573184 + 137945025 = 2928^2 + 11745^2 .

It is not a de Polignac number, because 146518209 - 24 = 146518193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (146518609) 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 23 ways as a sum of consecutive naturals, for example, 136527 + ... + 137595.

Almost surely, 2146518209 is an apocalyptic number.

It is an amenable number.

146518209 is a deficient number, since it is larger than the sum of its proper divisors (68864231).

146518209 is a wasteful number, since it uses less digits than its factorization.

146518209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 146518209 is about 12104.4706203948. The cubic root of 146518209 is about 527.1859982193.

The spelling of 146518209 in words is "one hundred forty-six million, five hundred eighteen thousand, two hundred nine".

Divisors: 1 3 9 97 157 291 471 873 1069 1413 3207 9621 15229 45687 103693 137061 167833 311079 503499 933237 1510497 16279801 48839403 146518209