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113564 = 22112989
BaseRepresentation
bin11011101110011100
312202210002
4123232130
512113224
62233432
7652043
oct335634
9182702
10113564
1178360
1255878
133c8c9
142d55a
15239ae
hex1bb9c

113564 has 24 divisors (see below), whose sum is σ = 226800. Its totient is φ = 49280.

The previous prime is 113557. The next prime is 113567. The reversal of 113564 is 465311.

Adding to 113564 its reverse (465311), we get a palindrome (578875).

It can be divided in two parts, 11 and 3564, that multiplied together give a square (39204 = 1982).

113564 = T1 + T2 + ... + T87.

113564 is a nontrivial binomial coefficient, being equal to C(89, 3).

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113567) by changing a digit.

It is the 87-th tetrahedral 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 7 ways as a sum of consecutive naturals, for example, 1232 + ... + 1320.

It is an arithmetic number, because the mean of its divisors is an integer number (9450).

2113564 is an apocalyptic number.

It is an amenable number.

113564 is a deficient number, since it is larger than the sum of its proper divisors (113236).

113564 is a wasteful number, since it uses less digits than its factorization.

113564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 131 counting only the distinct ones).

The product of its digits is 360, while the sum is 20.

The square root of 113564 is about 336.9925815207. The cubic root of 113564 is about 48.4261816774.

The spelling of 113564 in words is "one hundred thirteen thousand, five hundred sixty-four".

Divisors: 1 2 4 11 22 29 44 58 89 116 178 319 356 638 979 1276 1958 2581 3916 5162 10324 28391 56782 113564