Search a number
-
+
207146007 = 32432412221
BaseRepresentation
bin11000101100011…
…00110000010111
3112102210002220100
430112030300113
5411012133012
632315505143
75063466135
oct1426146027
9472702810
10207146007
11a6a23952
12594581b3
1333bb9b03
141d722755
15132bb8dc
hexc58cc17

207146007 has 24 divisors (see below), whose sum is σ = 307578128. Its totient is φ = 134265600.

The previous prime is 207145997. The next prime is 207146029. The reversal of 207146007 is 700641702.

It is not a de Polignac number, because 207146007 - 220 = 206097431 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (207141007) 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, 92157 + ... + 94377.

Almost surely, 2207146007 is an apocalyptic number.

207146007 is a deficient number, since it is larger than the sum of its proper divisors (100432121).

207146007 is a wasteful number, since it uses less digits than its factorization.

207146007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2511 (or 2508 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 207146007 is about 14392.5677695122. The cubic root of 207146007 is about 591.6872196876.

Adding to 207146007 its reverse (700641702), we get a palindrome (907787709).

The spelling of 207146007 in words is "two hundred seven million, one hundred forty-six thousand, seven".

Divisors: 1 3 9 43 129 241 387 723 2169 2221 6663 10363 19989 31089 93267 95503 286509 535261 859527 1605783 4817349 23016223 69048669 207146007