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66003144 = 2332750131
BaseRepresentation
bin1111101111001…
…0000011001000
311121012022021220
43323302003020
5113344100034
610314402040
71431005664
oct373620310
9147168256
1066003144
1134291159
121a130320
131089c51c
148aa18a4
155bdb749
hex3ef20c8

66003144 has 16 divisors (see below), whose sum is σ = 165007920. Its totient is φ = 22001040.

The previous prime is 66003143. The next prime is 66003149. The reversal of 66003144 is 44130066.

66003144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 2750131 = 66003144 / (6 + 6 + 0 + 0 + 3 + 1 + 4 + 4).

It is not an unprimeable number, because it can be changed into a prime (66003143) 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 3 ways as a sum of consecutive naturals, for example, 1375042 + ... + 1375089.

It is an arithmetic number, because the mean of its divisors is an integer number (10312995).

Almost surely, 266003144 is an apocalyptic number.

It is an amenable number.

66003144 is an abundant number, since it is smaller than the sum of its proper divisors (99004776).

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

66003144 is a wasteful number, since it uses less digits than its factorization.

66003144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2750140 (or 2750136 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 66003144 is about 8124.2319021554. The cubic root of 66003144 is about 404.1304189596.

The spelling of 66003144 in words is "sixty-six million, three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 2750131 5500262 8250393 11000524 16500786 22001048 33001572 66003144