Search a number
-
+
114067128 = 2337678971
BaseRepresentation
bin1101100110010…
…00011010111000
321221122012200110
412303020122320
5213200122003
615152504320
72553361140
oct663103270
9257565613
10114067128
115942a35a
123224b0a0
131a82a656
1411213920
15a032a03
hex6cc86b8

114067128 has 32 divisors (see below), whose sum is σ = 325906560. Its totient is φ = 32590560.

The previous prime is 114067123. The next prime is 114067169. The reversal of 114067128 is 821760411.

It is a super-2 number, since 2×1140671282 = 26022619380336768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114067095 and 114067104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114067123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 339318 + ... + 339653.

It is an arithmetic number, because the mean of its divisors is an integer number (10184580).

Almost surely, 2114067128 is an apocalyptic number.

It is an amenable number.

114067128 is an abundant number, since it is smaller than the sum of its proper divisors (211839432).

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

114067128 is a wasteful number, since it uses less digits than its factorization.

114067128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678987 (or 678983 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 114067128 is about 10680.2213460209. The cubic root of 114067128 is about 484.9759126451.

The spelling of 114067128 in words is "one hundred fourteen million, sixty-seven thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 678971 1357942 2036913 2715884 4073826 4752797 5431768 8147652 9505594 14258391 16295304 19011188 28516782 38022376 57033564 114067128