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114067116 = 2235117353
BaseRepresentation
bin1101100110010…
…00011010101100
321221122012200000
412303020122230
5213200121431
615152504300
72553361122
oct663103254
9257565600
10114067116
115942a349
123224b090
131a82a647
1411213912
15a0329e6
hex6cc86ac

114067116 has 36 divisors (see below), whose sum is σ = 299017992. Its totient is φ = 38022048.

The previous prime is 114067111. The next prime is 114067123. The reversal of 114067116 is 611760411.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1140671162 = 26022613905114912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 114067116.

It is not an unprimeable number, because it can be changed into a prime (114067111) 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 11 ways as a sum of consecutive naturals, for example, 57705 + ... + 59648.

Almost surely, 2114067116 is an apocalyptic number.

It is an amenable number.

114067116 is an abundant number, since it is smaller than the sum of its proper divisors (184950876).

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

114067116 is a wasteful number, since it uses less digits than its factorization.

114067116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117372 (or 117358 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 114067116 is about 10680.2207842348. The cubic root of 114067116 is about 484.9758956384.

The spelling of 114067116 in words is "one hundred fourteen million, sixty-seven thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 117353 234706 352059 469412 704118 1056177 1408236 2112354 3168531 4224708 6337062 9505593 12674124 19011186 28516779 38022372 57033558 114067116