Search a number
-
+
99744 = 2531039
BaseRepresentation
bin11000010110100000
312001211020
4120112200
511142434
62045440
7563541
oct302640
9161736
1099744
1168a37
1249880
1336528
14284c8
151e849
hex185a0

99744 has 24 divisors (see below), whose sum is σ = 262080. Its totient is φ = 33216.

The previous prime is 99733. The next prime is 99761. The reversal of 99744 is 44799.

It is a tau number, because it is divible by the number of its divisors (24).

It is a nialpdrome in base 10.

It is an unprimeable number.

99744 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 424 + ... + 615.

It is an arithmetic number, because the mean of its divisors is an integer number (10920).

299744 is an apocalyptic number.

It is an amenable number.

99744 is an abundant number, since it is smaller than the sum of its proper divisors (162336).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131040).

99744 is a wasteful number, since it uses less digits than its factorization.

99744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052 (or 1044 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The square root of 99744 is about 315.8227350904. The cubic root of 99744 is about 46.3762462642.

Subtracting from 99744 its reverse (44799), we obtain a palindrome (54945).

The spelling of 99744 in words is "ninety-nine thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1039 2078 3117 4156 6234 8312 12468 16624 24936 33248 49872 99744