Search a number
-
+
66700524 = 22311271647
BaseRepresentation
bin1111111001110…
…0010011101100
311122111201220210
43332130103230
5114033404044
610341342420
71436642112
oct376342354
9148451823
1066700524
1134718100
121a407a10
1310a84a87
148c03ab2
155cc81b9
hex3f9c4ec

66700524 has 72 divisors (see below), whose sum is σ = 173746944. Its totient is φ = 19896800.

The previous prime is 66700523. The next prime is 66700541. The reversal of 66700524 is 42500766.

It is a junction number, because it is equal to n+sod(n) for n = 66700491 and 66700500.

It is not an unprimeable number, because it can be changed into a prime (66700523) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102769 + ... + 103415.

It is an arithmetic number, because the mean of its divisors is an integer number (2413152).

Almost surely, 266700524 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 66700524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86873472).

66700524 is an abundant number, since it is smaller than the sum of its proper divisors (107046420).

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

66700524 is a wasteful number, since it uses less digits than its factorization.

66700524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 66700524 is about 8167.0388758717. The cubic root of 66700524 is about 405.5487638014.

The spelling of 66700524 in words is "sixty-six million, seven hundred thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 71 121 132 142 213 242 284 363 426 484 647 726 781 852 1294 1452 1562 1941 2343 2588 3124 3882 4686 7117 7764 8591 9372 14234 17182 21351 25773 28468 34364 42702 45937 51546 78287 85404 91874 103092 137811 156574 183748 234861 275622 313148 469722 505307 551244 939444 1010614 1515921 2021228 3031842 5558377 6063684 11116754 16675131 22233508 33350262 66700524