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114985 = 5132961
BaseRepresentation
bin11100000100101001
312211201201
4130010221
512134420
62244201
7656143
oct340451
9184651
10114985
1179432
1256661
1340450
142dc93
152410a
hex1c129

114985 has 16 divisors (see below), whose sum is σ = 156240. Its totient is φ = 80640.

The previous prime is 114973. The next prime is 114997. The reversal of 114985 is 589411.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (114973) and next prime (114997).

It can be written as a sum of positive squares in 8 ways, for example, as 32041 + 82944 = 179^2 + 288^2 .

It is not a de Polignac number, because 114985 - 29 = 114473 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a Zeisel number, with parameters (2, 3).

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1855 + ... + 1915.

It is an arithmetic number, because the mean of its divisors is an integer number (9765).

2114985 is an apocalyptic number.

It is an amenable number.

114985 is a deficient number, since it is larger than the sum of its proper divisors (41255).

114985 is a wasteful number, since it uses less digits than its factorization.

114985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108.

The product of its digits is 1440, while the sum is 28.

The square root of 114985 is about 339.0943821416. The cubic root of 114985 is about 48.6273268955.

The spelling of 114985 in words is "one hundred fourteen thousand, nine hundred eighty-five".

Divisors: 1 5 13 29 61 65 145 305 377 793 1769 1885 3965 8845 22997 114985