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66059409 = 31319591511
BaseRepresentation
bin1111101111111…
…1110010010001
311121022011110210
43323333302101
5113402400114
610315514333
71431332013
oct373776221
9147264423
1066059409
113431a459
121a1589a9
13108bc010
148ab81b3
155bed259
hex3effc91

66059409 has 32 divisors (see below), whose sum is σ = 101606400. Its totient is φ = 37834560.

The previous prime is 66059377. The next prime is 66059417. The reversal of 66059409 is 90495066.

It is not a de Polignac number, because 66059409 - 25 = 66059377 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (66059429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42964 + ... + 44474.

It is an arithmetic number, because the mean of its divisors is an integer number (3175200).

Almost surely, 266059409 is an apocalyptic number.

It is an amenable number.

66059409 is a deficient number, since it is larger than the sum of its proper divisors (35546991).

66059409 is a wasteful number, since it uses less digits than its factorization.

66059409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1605.

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 66059409 is about 8127.6939533917. The cubic root of 66059409 is about 404.2452212681.

It can be divided in two parts, 660 and 59409, that multiplied together give a triangular number (39209940 = T8855).

The spelling of 66059409 in words is "sixty-six million, fifty-nine thousand, four hundred nine".

Divisors: 1 3 13 19 39 57 59 177 247 741 767 1121 1511 2301 3363 4533 14573 19643 28709 43719 58929 86127 89149 267447 373217 1119651 1158937 1693831 3476811 5081493 22019803 66059409