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66480840 = 23325184669
BaseRepresentation
bin1111110110011…
…0101011001000
311122002120120100
43331212223020
5114004341330
610332525400
71435035456
oct375465310
9148076510
1066480840
1134588048
121a320860
1310a08a9a
148b879d6
155c83060
hex3f66ac8

66480840 has 48 divisors (see below), whose sum is σ = 216063900. Its totient is φ = 17728128.

The previous prime is 66480839. The next prime is 66480851. The reversal of 66480840 is 4808466.

66480840 is a `hidden beast` number, since 6 + 648 + 0 + 8 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 62631396 + 3849444 = 7914^2 + 1962^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 66480795 and 66480804.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91975 + ... + 92694.

Almost surely, 266480840 is an apocalyptic number.

66480840 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66480840 is an abundant number, since it is smaller than the sum of its proper divisors (149583060).

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

66480840 is a wasteful number, since it uses less digits than its factorization.

66480840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184686 (or 184679 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 66480840 is about 8153.5783555443. The cubic root of 66480840 is about 405.1030373411.

It can be divided in two parts, 6 and 6480840, that added together give a palindrome (6480846).

The spelling of 66480840 in words is "sixty-six million, four hundred eighty thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 184669 369338 554007 738676 923345 1108014 1477352 1662021 1846690 2216028 2770035 3324042 3693380 4432056 5540070 6648084 7386760 8310105 11080140 13296168 16620210 22160280 33240420 66480840