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66405096 = 233534159
BaseRepresentation
bin1111110101010…
…0001011101000
311121221201200000
43331110023220
5113444430341
610331143000
71434301602
oct375241350
9147851600
1066405096
113453614a
121a2a4a60
13109b0474
148b68172
155c6a8b6
hex3f542e8

66405096 has 48 divisors (see below), whose sum is σ = 186513600. Its totient is φ = 22134384.

The previous prime is 66405083. The next prime is 66405127. The reversal of 66405096 is 69050466.

It is a happy number.

66405096 is a `hidden beast` number, since 6 + 640 + 5 + 0 + 9 + 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 66405096.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15136 + ... + 19023.

It is an arithmetic number, because the mean of its divisors is an integer number (3885700).

Almost surely, 266405096 is an apocalyptic number.

It is an amenable number.

66405096 is an abundant number, since it is smaller than the sum of its proper divisors (120108504).

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

66405096 is a wasteful number, since it uses less digits than its factorization.

66405096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34180 (or 34164 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 66405096 is about 8148.9321999879. The cubic root of 66405096 is about 404.9491294131.

The spelling of 66405096 in words is "sixty-six million, four hundred five thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1944 34159 68318 102477 136636 204954 273272 307431 409908 614862 819816 922293 1229724 1844586 2459448 2766879 3689172 5533758 7378344 8300637 11067516 16601274 22135032 33202548 66405096