Search a number
-
+
114361125 = 3531717939
BaseRepresentation
bin1101101000100…
…00001100100101
321222012010222020
412310100030211
5213234024000
615203053353
72556024234
oct664201445
9258163866
10114361125
115961022a
1232371259
131a901408
141128cb1b
15a08eba0
hex6d10325

114361125 has 32 divisors (see below), whose sum is σ = 201502080. Its totient is φ = 57401600.

The previous prime is 114361103. The next prime is 114361127. The reversal of 114361125 is 521163411.

It is a happy number.

It is not a de Polignac number, because 114361125 - 218 = 114098981 is a prime.

It is a super-2 number, since 2×1143611252 = 26156933822531250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114361095 and 114361104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114361127) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2595 + ... + 15344.

It is an arithmetic number, because the mean of its divisors is an integer number (6296940).

Almost surely, 2114361125 is an apocalyptic number.

114361125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114361125 is a deficient number, since it is larger than the sum of its proper divisors (87140955).

114361125 is a wasteful number, since it uses less digits than its factorization.

114361125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17974 (or 17964 counting only the distinct ones).

The product of its digits is 720, while the sum is 24.

The square root of 114361125 is about 10693.9761080713. The cubic root of 114361125 is about 485.3922147073.

It can be divided in two parts, 11436 and 1125, that added together give a triangular number (12561 = T158).

The spelling of 114361125 in words is "one hundred fourteen million, three hundred sixty-one thousand, one hundred twenty-five".

Divisors: 1 3 5 15 17 25 51 75 85 125 255 375 425 1275 2125 6375 17939 53817 89695 269085 304963 448475 914889 1345425 1524815 2242375 4574445 6727125 7624075 22872225 38120375 114361125