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66068032 = 262935597
BaseRepresentation
bin1111110000000…
…1111001000000
311121022121022011
43330001321000
5113403134112
610320022304
71431366112
oct374017100
9147277264
1066068032
1134325988
121a161994
13108c2c14
148abb3b2
155c00aa7
hex3f01e40

66068032 has 28 divisors (see below), whose sum is σ = 135628380. Its totient is φ = 31894016.

The previous prime is 66068027. The next prime is 66068047. The reversal of 66068032 is 23086066.

It can be written as a sum of positive squares in 2 ways, for example, as 19501056 + 46566976 = 4416^2 + 6824^2 .

It is a junction number, because it is equal to n+sod(n) for n = 66067985 and 66068003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15943 + ... + 19654.

Almost surely, 266068032 is an apocalyptic number.

It is an amenable number.

66068032 is an abundant number, since it is smaller than the sum of its proper divisors (69560348).

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

66068032 is a wasteful number, since it uses less digits than its factorization.

66068032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35638 (or 35628 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 66068032 is about 8128.2244063510. The cubic root of 66068032 is about 404.2628097537.

The spelling of 66068032 in words is "sixty-six million, sixty-eight thousand, thirty-two".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 464 928 1856 35597 71194 142388 284776 569552 1032313 1139104 2064626 2278208 4129252 8258504 16517008 33034016 66068032