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113526 = 23271753
BaseRepresentation
bin11011101101110110
312202201200
4123231312
512113101
62233330
7651660
oct335566
9182650
10113526
1178326
1255846
133c89a
142d530
1523986
hex1bb76

113526 has 48 divisors (see below), whose sum is σ = 303264. Its totient is φ = 29952.

The previous prime is 113513. The next prime is 113537. The reversal of 113526 is 625311.

Adding to 113526 its reverse (625311), we get a palindrome (738837).

113526 is a nontrivial binomial coefficient, being equal to C(477, 2).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a plaindrome in base 8.

It is a zygodrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 113499 and 113508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2116 + ... + 2168.

It is an arithmetic number, because the mean of its divisors is an integer number (6318).

2113526 is an apocalyptic number.

113526 is the 476-th triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113526, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151632).

113526 is an abundant number, since it is smaller than the sum of its proper divisors (189738).

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

113526 is a wasteful number, since it uses less digits than its factorization.

113526 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 82 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 113526 is about 336.9361957404. The cubic root of 113526 is about 48.4207797302.

The spelling of 113526 in words is "one hundred thirteen thousand, five hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 53 63 102 106 119 126 153 159 238 306 318 357 371 477 714 742 901 954 1071 1113 1802 2142 2226 2703 3339 5406 6307 6678 8109 12614 16218 18921 37842 56763 113526