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66007020 = 22352394603
BaseRepresentation
bin1111101111001…
…0111111101100
311121012111121110
43323302333230
5113344211040
610314432020
71431023202
oct373627754
9147174543
1066007020
1134294062
121a132610
13108a1211
148aa3072
155bdc980
hex3ef2fec

66007020 has 48 divisors (see below), whose sum is σ = 185633280. Its totient is φ = 17524416.

The previous prime is 66006989. The next prime is 66007031. The reversal of 66007020 is 2070066.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 12039 + ... + 16641.

It is an arithmetic number, because the mean of its divisors is an integer number (3867360).

Almost surely, 266007020 is an apocalyptic number.

66007020 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66007020 is an abundant number, since it is smaller than the sum of its proper divisors (119626260).

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

66007020 is a wasteful number, since it uses less digits than its factorization.

66007020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4854 (or 4852 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 66007020 is about 8124.4704442813. The cubic root of 66007020 is about 404.1383295871.

Adding to 66007020 its reverse (2070066), we get a palindrome (68077086).

The spelling of 66007020 in words is "sixty-six million, seven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 239 478 717 956 1195 1434 2390 2868 3585 4603 4780 7170 9206 13809 14340 18412 23015 27618 46030 55236 69045 92060 138090 276180 1100117 2200234 3300351 4400468 5500585 6600702 11001170 13201404 16501755 22002340 33003510 66007020