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66040506 = 23271314001
BaseRepresentation
bin1111101111101…
…1001010111010
311121021012112200
43323323022322
5113401244011
610315251030
71431222630
oct373731272
9147235480
1066040506
1134307234
121a149a76
13108b352c
148ab1350
155be7856
hex3efb2ba

66040506 has 48 divisors (see below), whose sum is σ = 164818368. Its totient is φ = 18720000.

The previous prime is 66040489. The next prime is 66040517. The reversal of 66040506 is 60504066.

66040506 is a `hidden beast` number, since 6 + 604 + 0 + 50 + 6 = 666.

It is a super-2 number, since 2×660405062 = 8722696865472072, which contains 22 as substring.

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 66040506.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14506 + ... + 18506.

It is an arithmetic number, because the mean of its divisors is an integer number (3433716).

Almost surely, 266040506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66040506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82409184).

66040506 is an abundant number, since it is smaller than the sum of its proper divisors (98777862).

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

66040506 is a wasteful number, since it uses less digits than its factorization.

66040506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4147 (or 4144 counting only the distinct ones).

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

The square root of 66040506 is about 8126.5309942189. The cubic root of 66040506 is about 404.2066591288.

The spelling of 66040506 in words is "sixty-six million, forty thousand, five hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 131 262 393 786 917 1179 1834 2358 2751 4001 5502 8002 8253 12003 16506 24006 28007 36009 56014 72018 84021 168042 252063 504126 524131 1048262 1572393 3144786 3668917 4717179 7337834 9434358 11006751 22013502 33020253 66040506