Search a number
-
+
66132703 = 72131731197
BaseRepresentation
bin1111110001000…
…1101011011111
311121102220000101
43330101223133
5113412221303
610321241531
71432055500
oct374215337
9147386011
1066132703
113436a52a
121a1932a7
13109164a0
148ad6ba7
155c14d1d
hex3f11adf

66132703 has 48 divisors (see below), whose sum is σ = 91010304. Its totient is φ = 47416320.

The previous prime is 66132701. The next prime is 66132707. The reversal of 66132703 is 30723166.

It is not a de Polignac number, because 66132703 - 21 = 66132701 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66132701) 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 47 ways as a sum of consecutive naturals, for example, 335601 + ... + 335797.

It is an arithmetic number, because the mean of its divisors is an integer number (1896048).

Almost surely, 266132703 is an apocalyptic number.

66132703 is a deficient number, since it is larger than the sum of its proper divisors (24877601).

66132703 is a wasteful number, since it uses less digits than its factorization.

66132703 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 28.

The square root of 66132703 is about 8132.2016084207. The cubic root of 66132703 is about 404.3946715815.

Adding to 66132703 its reverse (30723166), we get a palindrome (96855869).

It can be divided in two parts, 6613 and 2703, that added together give a triangular number (9316 = T136).

The spelling of 66132703 in words is "sixty-six million, one hundred thirty-two thousand, seven hundred three".

Divisors: 1 7 13 17 31 49 91 119 197 217 221 403 527 637 833 1379 1519 1547 2561 2821 3349 3689 6107 6851 9653 10829 17927 19747 23443 25823 42749 43537 47957 79391 103819 125489 164101 299243 304759 335699 555737 726733 1349647 2133313 3890159 5087131 9447529 66132703