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66784104 = 2332927557
BaseRepresentation
bin1111111011000…
…0101101101000
311122122222120100
43332300231220
5114044042404
610343225400
71440440562
oct376605550
9148588510
1066784104
1134774982
121a448260
1310ab3b2a
148c26332
155ce2d39
hex3fb0b68

66784104 has 24 divisors (see below), whose sum is σ = 180873810. Its totient is φ = 22261344.

The previous prime is 66784103. The next prime is 66784147. The reversal of 66784104 is 40148766.

It can be written as a sum of positive squares in only one way, i.e., 50381604 + 16402500 = 7098^2 + 4050^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is not an unprimeable number, because it can be changed into a prime (66784103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 463707 + ... + 463850.

Almost surely, 266784104 is an apocalyptic number.

It is an amenable number.

66784104 is an abundant number, since it is smaller than the sum of its proper divisors (114089706).

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

66784104 is a wasteful number, since it uses less digits than its factorization.

66784104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927569 (or 927562 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 66784104 is about 8172.1541835675. The cubic root of 66784104 is about 405.7180858978.

The spelling of 66784104 in words is "sixty-six million, seven hundred eighty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 927557 1855114 2782671 3710228 5565342 7420456 8348013 11130684 16696026 22261368 33392052 66784104