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66020526 = 232111321973
BaseRepresentation
bin1111101111011…
…0010010101110
311121020012010200
43323312102232
5113400124101
610315014330
71431110445
oct373662256
9147205120
1066020526
11342a3220
121a13a3a6
13108a7400
148aa7d5c
155be1986
hex3ef64ae

66020526 has 72 divisors (see below), whose sum is σ = 169061256. Its totient is φ = 18457920.

The previous prime is 66020519. The next prime is 66020551. The reversal of 66020526 is 62502066.

66020526 is a `hidden beast` number, since 6 + 602 + 0 + 52 + 6 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 66020526.

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 35 ways as a sum of consecutive naturals, for example, 32476 + ... + 34448.

It is an arithmetic number, because the mean of its divisors is an integer number (2348073).

Almost surely, 266020526 is an apocalyptic number.

66020526 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 66020526, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84530628).

66020526 is an abundant number, since it is smaller than the sum of its proper divisors (103040730).

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

66020526 is a wasteful number, since it uses less digits than its factorization.

66020526 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2018 (or 2002 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 66020526 is about 8125.3015944025. The cubic root of 66020526 is about 404.1658919082.

The spelling of 66020526 in words is "sixty-six million, twenty thousand, five hundred twenty-six".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 169 198 234 286 338 429 507 858 1014 1287 1521 1859 1973 2574 3042 3718 3946 5577 5919 11154 11838 16731 17757 21703 25649 33462 35514 43406 51298 65109 76947 130218 153894 195327 230841 282139 333437 390654 461682 564278 666874 846417 1000311 1692834 2000622 2539251 3000933 3667807 5078502 6001866 7335614 11003421 22006842 33010263 66020526