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66000620 = 2257895297
BaseRepresentation
bin1111101111000…
…1011011101100
311121012011211102
43323301123230
5113344004440
610314342232
71430665430
oct373613354
9147164742
1066000620
113428a274
121a12a978
131089b32a
148aa09c0
155bdab15
hex3ef16ec

66000620 has 48 divisors (see below), whose sum is σ = 160211520. Its totient is φ = 22370304.

The previous prime is 66000619. The next prime is 66000631. The reversal of 66000620 is 2600066.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 66000592 and 66000601.

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 15 ways as a sum of consecutive naturals, for example, 9812 + ... + 15108.

It is an arithmetic number, because the mean of its divisors is an integer number (3337740).

Almost surely, 266000620 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66000620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80105760).

66000620 is an abundant number, since it is smaller than the sum of its proper divisors (94210900).

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

66000620 is a wasteful number, since it uses less digits than its factorization.

66000620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5402 (or 5400 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 66000620 is about 8124.0765629086. The cubic root of 66000620 is about 404.1252674971.

Adding to 66000620 its reverse (2600066), we get a palindrome (68600686).

The spelling of 66000620 in words is "sixty-six million, six hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 14 20 28 35 70 89 140 178 356 445 623 890 1246 1780 2492 3115 5297 6230 10594 12460 21188 26485 37079 52970 74158 105940 148316 185395 370790 471433 741580 942866 1885732 2357165 3300031 4714330 6600062 9428660 13200124 16500155 33000310 66000620