Search a number
-
+
66034040 = 2352636277
BaseRepresentation
bin1111101111100…
…1100101111000
311121020212200012
43323321211320
5113401042130
610315201052
71431165032
oct373714570
9147225605
1066034040
1134302396
121a146188
13108b05c7
148aacc52
155be5995
hex3ef9978

66034040 has 32 divisors (see below), whose sum is σ = 149165280. Its totient is φ = 26308992.

The previous prime is 66034037. The next prime is 66034057. The reversal of 66034040 is 4043066.

It is a junction number, because it is equal to n+sod(n) for n = 66033997 and 66034015.

It is a congruent number.

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, 7382 + ... + 13658.

It is an arithmetic number, because the mean of its divisors is an integer number (4661415).

Almost surely, 266034040 is an apocalyptic number.

It is an amenable number.

66034040 is an abundant number, since it is smaller than the sum of its proper divisors (83131240).

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

66034040 is a wasteful number, since it uses less digits than its factorization.

66034040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6551 (or 6547 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 66034040 is about 8126.1331517518. The cubic root of 66034040 is about 404.1934667931.

The spelling of 66034040 in words is "sixty-six million, thirty-four thousand, forty", and thus it is an eban number.

Divisors: 1 2 4 5 8 10 20 40 263 526 1052 1315 2104 2630 5260 6277 10520 12554 25108 31385 50216 62770 125540 251080 1650851 3301702 6603404 8254255 13206808 16508510 33017020 66034040