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66830144 = 261954959
BaseRepresentation
bin1111111011101…
…1111101000000
311122202022201112
43332323331000
5114102031034
610344222452
71441022033
oct376737500
9148668645
1066830144
11347a6527
121a46aa28
1310acba84
148c3901a
155d017ce
hex3fbbf40

66830144 has 28 divisors (see below), whose sum is σ = 139598400. Its totient is φ = 31655808.

The previous prime is 66830143. The next prime is 66830147. The reversal of 66830144 is 44103866.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 66830144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66830143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26264 + ... + 28695.

Almost surely, 266830144 is an apocalyptic number.

66830144 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

66830144 is an abundant number, since it is smaller than the sum of its proper divisors (72768256).

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

66830144 is a wasteful number, since it uses less digits than its factorization.

66830144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54990 (or 54980 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 66830144 is about 8174.9705809868. The cubic root of 66830144 is about 405.8112965513.

The spelling of 66830144 in words is "sixty-six million, eight hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 608 1216 54959 109918 219836 439672 879344 1044221 1758688 2088442 3517376 4176884 8353768 16707536 33415072 66830144