Search a number
-
+
66731196 = 22376771167
BaseRepresentation
bin1111111010001…
…1110010111100
311122120021222210
43332203302330
5114040344241
610342140420
71440130410
oct376436274
9148507883
1066731196
1134739154
121a421710
1310a95a1c
148c10d40
155cd2316
hex3fa3cbc

66731196 has 96 divisors (see below), whose sum is σ = 184246272. Its totient is φ = 18406080.

The previous prime is 66731177. The next prime is 66731207. The reversal of 66731196 is 69113766.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 399505 + ... + 399671.

It is an arithmetic number, because the mean of its divisors is an integer number (1919232).

Almost surely, 266731196 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66731196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92123136).

66731196 is an abundant number, since it is smaller than the sum of its proper divisors (117515076).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

66731196 is a wasteful number, since it uses less digits than its factorization.

66731196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 317 counting only the distinct ones).

The product of its digits is 40824, while the sum is 39.

The square root of 66731196 is about 8168.9164520149. The cubic root of 66731196 is about 405.6109176634.

The spelling of 66731196 in words is "sixty-six million, seven hundred thirty-one thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 67 71 84 134 142 167 201 213 268 284 334 402 426 469 497 501 668 804 852 938 994 1002 1169 1407 1491 1876 1988 2004 2338 2814 2982 3507 4676 4757 5628 5964 7014 9514 11189 11857 14028 14271 19028 22378 23714 28542 33299 33567 35571 44756 47428 57084 66598 67134 71142 78323 82999 99897 133196 134268 142284 156646 165998 199794 234969 248997 313292 331996 399588 469938 497994 794419 939876 995988 1588838 2383257 3177676 4766514 5560933 9533028 11121866 16682799 22243732 33365598 66731196