Search a number
-
+
32728068 = 2232909113
BaseRepresentation
bin111110011011…
…0010000000100
32021120202110200
41330312100010
531334244233
63125250500
7545120052
oct174662004
967522420
1032728068
111752409a
12ab63a30
136a1b929
1444bd1d2
152d17313
hex1f36404

32728068 has 18 divisors (see below), whose sum is σ = 82729374. Its totient is φ = 10909344.

The previous prime is 32728049. The next prime is 32728079. The reversal of 32728068 is 86082723.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 32626944 + 101124 = 5712^2 + 318^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×327280682 = 2142252870025248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 909113 = 32728068 / (3 + 2 + 7 + 2 + 8 + 0 + 6 + 8).

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 5 ways as a sum of consecutive naturals, for example, 454521 + ... + 454592.

Almost surely, 232728068 is an apocalyptic number.

It is an amenable number.

32728068 is an abundant number, since it is smaller than the sum of its proper divisors (50001306).

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

32728068 is a wasteful number, since it uses less digits than its factorization.

32728068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909123 (or 909118 counting only the distinct ones).

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

The square root of 32728068 is about 5720.8450424741. The cubic root of 32728068 is about 319.8699601831.

The spelling of 32728068 in words is "thirty-two million, seven hundred twenty-eight thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 909113 1818226 2727339 3636452 5454678 8182017 10909356 16364034 32728068