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66818040 = 2335556817
BaseRepresentation
bin1111111011100…
…0111111111000
311122201201010020
43332320333320
5114101134130
610344050440
71440641532
oct376707770
9148651106
1066818040
1134798423
121a463a20
1310ac6403
148c34852
155cece10
hex3fb8ff8

66818040 has 32 divisors (see below), whose sum is σ = 200454480. Its totient is φ = 17818112.

The previous prime is 66818033. The next prime is 66818047. The reversal of 66818040 is 4081866.

It is an interprime number because it is at equal distance from previous prime (66818033) and next prime (66818047).

It is a junction number, because it is equal to n+sod(n) for n = 66817992 and 66818010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66818047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 278289 + ... + 278528.

Almost surely, 266818040 is an apocalyptic number.

66818040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66818040 is an abundant number, since it is smaller than the sum of its proper divisors (133636440).

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

66818040 is a wasteful number, since it uses less digits than its factorization.

66818040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556831 (or 556827 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 66818040 is about 8174.2302389889. The cubic root of 66818040 is about 405.7867954493.

The spelling of 66818040 in words is "sixty-six million, eight hundred eighteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 556817 1113634 1670451 2227268 2784085 3340902 4454536 5568170 6681804 8352255 11136340 13363608 16704510 22272680 33409020 66818040