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114036 = 223131743
BaseRepresentation
bin11011110101110100
312210102120
4123311310
512122121
62235540
7653316
oct336564
9183376
10114036
117874a
1255bb0
133cba0
142d7b6
1523bc6
hex1bd74

114036 has 48 divisors (see below), whose sum is σ = 310464. Its totient is φ = 32256.

The previous prime is 114031. The next prime is 114041. The reversal of 114036 is 630411.

114036 is nontrivially palindromic in base 5.

It is an interprime number because it is at equal distance from previous prime (114031) and next prime (114041).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 114036.

It is not an unprimeable number, because it can be changed into a prime (114031) by changing a digit.

114036 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 15 ways as a sum of consecutive naturals, for example, 2631 + ... + 2673.

It is an arithmetic number, because the mean of its divisors is an integer number (6468).

2114036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155232).

114036 is an abundant number, since it is smaller than the sum of its proper divisors (196428).

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

114036 is a wasteful number, since it uses less digits than its factorization.

114036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 114036 is about 337.6921675136. The cubic root of 114036 is about 48.4931793292.

Adding to 114036 its reverse (630411), we get a palindrome (744447).

It can be divided in two parts, 1140 and 36, that added together give a triangular number (1176 = T48).

The spelling of 114036 in words is "one hundred fourteen thousand, thirty-six".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 43 51 52 68 78 86 102 129 156 172 204 221 258 442 516 559 663 731 884 1118 1326 1462 1677 2193 2236 2652 2924 3354 4386 6708 8772 9503 19006 28509 38012 57018 114036