Search a number
-
+
66936128 = 267149411
BaseRepresentation
bin1111111101010…
…1110101000000
311122221201002212
43333111311000
5114113424003
610350401252
71441643030
oct377256500
9148851085
1066936128
1134869116
121a500228
1310b3809c
148c658c0
155d22dd8
hex3fd5d40

66936128 has 28 divisors (see below), whose sum is σ = 151802592. Its totient is φ = 28686720.

The previous prime is 66936101. The next prime is 66936151. The reversal of 66936128 is 82163966.

It is a tau number, because it is divible by the number of its divisors (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 74258 + ... + 75153.

Almost surely, 266936128 is an apocalyptic number.

It is an amenable number.

66936128 is an abundant number, since it is smaller than the sum of its proper divisors (84866464).

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

66936128 is a wasteful number, since it uses less digits than its factorization.

66936128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149430 (or 149420 counting only the distinct ones).

The product of its digits is 93312, while the sum is 41.

The square root of 66936128 is about 8181.4502381913. The cubic root of 66936128 is about 406.0257047312.

It can be divided in two parts, 6693 and 6128, that added together give a palindrome (12821).

The spelling of 66936128 in words is "sixty-six million, nine hundred thirty-six thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 149411 298822 597644 1045877 1195288 2091754 2390576 4183508 4781152 8367016 9562304 16734032 33468064 66936128