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66406536 = 23327131759
BaseRepresentation
bin1111110101010…
…0100010001000
311121221210122100
43331110202020
5114000002121
610331153400
71434306030
oct375244210
9147853570
1066406536
1134537239
121a2a5860
13109b1011
148b688c0
155c6b026
hex3f54888

66406536 has 48 divisors (see below), whose sum is σ = 205545600. Its totient is φ = 18973152.

The previous prime is 66406519. The next prime is 66406537. The reversal of 66406536 is 63560466.

66406536 is a `hidden beast` number, since 6 + 640 + 6 + 5 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 66406536.

It is not an unprimeable number, because it can be changed into a prime (66406537) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65376 + ... + 66383.

It is an arithmetic number, because the mean of its divisors is an integer number (4282200).

Almost surely, 266406536 is an apocalyptic number.

It is an amenable number.

66406536 is an abundant number, since it is smaller than the sum of its proper divisors (139139064).

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

66406536 is a wasteful number, since it uses less digits than its factorization.

66406536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131778 (or 131771 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 66406536 is about 8149.0205546434. The cubic root of 66406536 is about 404.9520565104.

The spelling of 66406536 in words is "sixty-six million, four hundred six thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 131759 263518 395277 527036 790554 922313 1054072 1185831 1581108 1844626 2371662 2766939 3162216 3689252 4743324 5533878 7378504 8300817 9486648 11067756 16601634 22135512 33203268 66406536