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66333780 = 22325368521
BaseRepresentation
bin1111110100001…
…0110001010100
311121211002211200
43331002301110
5113440140110
610325432500
71433553642
oct375026124
9147732750
1066333780
1134497607
121a26b730
1310986b76
148b4a192
155c546c0
hex3f42c54

66333780 has 36 divisors (see below), whose sum is σ = 201213012. Its totient is φ = 17688960.

The previous prime is 66333767. The next prime is 66333781. The reversal of 66333780 is 8733366.

66333780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 22297284 + 44036496 = 4722^2 + 6636^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66333781) 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 11 ways as a sum of consecutive naturals, for example, 184081 + ... + 184440.

Almost surely, 266333780 is an apocalyptic number.

66333780 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66333780 is an abundant number, since it is smaller than the sum of its proper divisors (134879232).

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

66333780 is a wasteful number, since it uses less digits than its factorization.

66333780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368536 (or 368531 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 66333780 is about 8144.5552364755. Note that the first 3 decimals coincide. The cubic root of 66333780 is about 404.8041119451.

It can be divided in two parts, 663 and 33780, that added together give a palindrome (34443).

The spelling of 66333780 in words is "sixty-six million, three hundred thirty-three thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 368521 737042 1105563 1474084 1842605 2211126 3316689 3685210 4422252 5527815 6633378 7370420 11055630 13266756 16583445 22111260 33166890 66333780