Search a number
-
+
928000066 = 27312138249
BaseRepresentation
bin110111010100000…
…010100001000010
32101200012021202211
4313110002201002
53400032000231
6232030132334
731665604360
oct6724024102
92350167684
10928000066
11436917204
1221a9510aa
1311a34b286
148b368630
155670ceb1
hex37502842

928000066 has 16 divisors (see below), whose sum is σ = 1642176000. Its totient is φ = 384884640.

The previous prime is 928000043. The next prime is 928000079. The reversal of 928000066 is 660000829.

It is a super-3 number, since 3×9280000663 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1068691 + ... + 1069558.

It is an arithmetic number, because the mean of its divisors is an integer number (102636000).

Almost surely, 2928000066 is an apocalyptic number.

928000066 is a deficient number, since it is larger than the sum of its proper divisors (714175934).

928000066 is a wasteful number, since it uses less digits than its factorization.

928000066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2138289.

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 928000066 is about 30463.0935067337. The cubic root of 928000066 is about 975.3998153384.

The spelling of 928000066 in words is "nine hundred twenty-eight million, sixty-six", and thus it is an aban number.

Divisors: 1 2 7 14 31 62 217 434 2138249 4276498 14967743 29935486 66285719 132571438 464000033 928000066