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66064400 = 2452165161
BaseRepresentation
bin1111110000000…
…1000000010000
311121022102022122
43330001000100
5113403030100
610315553412
71431352403
oct374010020
9147272278
1066064400
1134323186
121a15b868
13108c137c
148ab9d3a
155bee985
hex3f01010

66064400 has 30 divisors (see below), whose sum is σ = 158720682. Its totient is φ = 26425600.

The previous prime is 66064393. The next prime is 66064421. The reversal of 66064400 is 446066.

It can be written as a sum of positive squares in 3 ways, for example, as 16 + 66064384 = 4^2 + 8128^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 66064400.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 82181 + ... + 82980.

Almost surely, 266064400 is an apocalyptic number.

It is an amenable number.

66064400 is an abundant number, since it is smaller than the sum of its proper divisors (92656282).

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

66064400 is a wasteful number, since it uses less digits than its factorization.

66064400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165179 (or 165168 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 66064400 is about 8128.0009842519. Note that the first 3 decimals coincide. The cubic root of 66064400 is about 404.2554016856.

The spelling of 66064400 in words is "sixty-six million, sixty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 165161 330322 660644 825805 1321288 1651610 2642576 3303220 4129025 6606440 8258050 13212880 16516100 33032200 66064400