Search a number
-
+
66078147 = 367547601
BaseRepresentation
bin1111110000010…
…0010111000011
311121100010011210
43330010113003
5113404000042
610320141203
71431440442
oct374042703
9147303153
1066078147
1134332543
121a167803
13108c76c5
148ac0d59
155c03a9c
hex3f045c3

66078147 has 16 divisors (see below), whose sum is σ = 89731712. Its totient is φ = 43243200.

The previous prime is 66078137. The next prime is 66078151. The reversal of 66078147 is 74187066.

66078147 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 66078147 - 26 = 66078083 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (66078137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109647 + ... + 110247.

It is an arithmetic number, because the mean of its divisors is an integer number (5608232).

Almost surely, 266078147 is an apocalyptic number.

66078147 is a gapful number since it is divisible by the number (67) formed by its first and last digit.

66078147 is a deficient number, since it is larger than the sum of its proper divisors (23653565).

66078147 is a wasteful number, since it uses less digits than its factorization.

66078147 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218.

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 66078147 is about 8128.8465971502. The cubic root of 66078147 is about 404.2834395476.

The spelling of 66078147 in words is "sixty-six million, seventy-eight thousand, one hundred forty-seven".

Divisors: 1 3 67 201 547 601 1641 1803 36649 40267 109947 120801 328747 986241 22026049 66078147