Search a number
-
+
66231126 = 23213349811
BaseRepresentation
bin1111110010100…
…1101101010110
311121121220000200
43330221231112
5113423344001
610323321330
71432645443
oct374515526
9147556020
1066231126
1134427475
121a220246
131094c220
148b209ca
155c34086
hex3f29b56

66231126 has 48 divisors (see below), whose sum is σ = 155173200. Its totient is φ = 20295360.

The previous prime is 66231107. The next prime is 66231149. The reversal of 66231126 is 62113266.

66231126 is a `hidden beast` number, since 6 + 623 + 11 + 26 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 66231126.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81261 + ... + 82071.

It is an arithmetic number, because the mean of its divisors is an integer number (3232775).

Almost surely, 266231126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66231126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77586600).

66231126 is an abundant number, since it is smaller than the sum of its proper divisors (88942074).

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

66231126 is a wasteful number, since it uses less digits than its factorization.

66231126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181 (or 1178 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 66231126 is about 8138.2507948576. The cubic root of 66231126 is about 404.5951876454.

The spelling of 66231126 in words is "sixty-six million, two hundred thirty-one thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 349 698 811 1047 1622 2094 2433 3141 4537 4866 6282 7299 9074 10543 13611 14598 21086 27222 31629 40833 63258 81666 94887 189774 283039 566078 849117 1698234 2547351 3679507 5094702 7359014 11038521 22077042 33115563 66231126