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66823140 = 22351113719
BaseRepresentation
bin1111111011101…
…0001111100100
311122201222010010
43332322033210
5114101320030
610344130220
71440662436
oct376721744
9148658103
1066823140
11347a123a
121a466970
1310ac8827
148c36656
155cee6b0
hex3fba3e4

66823140 has 24 divisors (see below), whose sum is σ = 187104960. Its totient is φ = 17819488.

The previous prime is 66823139. The next prime is 66823151. The reversal of 66823140 is 4132866.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 66823098 and 66823107.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 556800 + ... + 556919.

It is an arithmetic number, because the mean of its divisors is an integer number (7796040).

Almost surely, 266823140 is an apocalyptic number.

66823140 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66823140 is an abundant number, since it is smaller than the sum of its proper divisors (120281820).

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

66823140 is a wasteful number, since it uses less digits than its factorization.

66823140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113731 (or 1113729 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 66823140 is about 8174.5421890158. The cubic root of 66823140 is about 405.7971193080.

The spelling of 66823140 in words is "sixty-six million, eight hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1113719 2227438 3341157 4454876 5568595 6682314 11137190 13364628 16705785 22274380 33411570 66823140