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66020824 = 23314143151
BaseRepresentation
bin1111101111011…
…0010111011000
311121020012112201
43323312113120
5113400131244
610315015544
71431111352
oct373662730
9147205481
1066020824
11342a3471
121a13a5b4
13108a759c
148aa80d2
155be1ad4
hex3ef65d8

66020824 has 64 divisors (see below), whose sum is σ = 134830080. Its totient is φ = 30240000.

The previous prime is 66020821. The next prime is 66020827. The reversal of 66020824 is 42802066.

It is an interprime number because it is at equal distance from previous prime (66020821) and next prime (66020827).

It is a junction number, because it is equal to n+sod(n) for n = 66020792 and 66020801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66020821) 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 15 ways as a sum of consecutive naturals, for example, 437149 + ... + 437299.

It is an arithmetic number, because the mean of its divisors is an integer number (2106720).

Almost surely, 266020824 is an apocalyptic number.

It is an amenable number.

66020824 is an abundant number, since it is smaller than the sum of its proper divisors (68809256).

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

66020824 is a wasteful number, since it uses less digits than its factorization.

66020824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 66020824 is about 8125.3199321627. The cubic root of 66020824 is about 404.1665000082.

The spelling of 66020824 in words is "sixty-six million, twenty thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 31 41 43 62 82 86 124 151 164 172 248 302 328 344 604 1208 1271 1333 1763 2542 2666 3526 4681 5084 5332 6191 6493 7052 9362 10168 10664 12382 12986 14104 18724 24764 25972 37448 49528 51944 54653 109306 191921 201283 218612 266213 383842 402566 437224 532426 767684 805132 1064852 1535368 1610264 2129704 8252603 16505206 33010412 66020824