Search a number
-
+
111059344 = 24113112029
BaseRepresentation
bin1101001111010…
…10000110010000
321201222101210001
412213222012100
5211412344334
615004215344
72515663114
oct647520620
9251871701
10111059344
1157765590
123123a554
131a0165b6
1410a6d744
159b3b714
hex69ea190

111059344 has 40 divisors (see below), whose sum is σ = 235609920. Its totient is φ = 50294400.

The previous prime is 111059339. The next prime is 111059359. The reversal of 111059344 is 443950111.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53722 + ... + 55750.

It is an arithmetic number, because the mean of its divisors is an integer number (5890248).

Almost surely, 2111059344 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 111059344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117804960).

111059344 is an abundant number, since it is smaller than the sum of its proper divisors (124550576).

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

111059344 is a wasteful number, since it uses less digits than its factorization.

111059344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2359 (or 2353 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 111059344 is about 10538.4697181327. The cubic root of 111059344 is about 480.6751840774.

It can be divided in two parts, 11105 and 9344, that added together give a square (20449 = 1432).

The spelling of 111059344 in words is "one hundred eleven million, fifty-nine thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 311 622 1244 2029 2488 3421 4058 4976 6842 8116 13684 16232 22319 27368 32464 44638 54736 89276 178552 357104 631019 1262038 2524076 5048152 6941209 10096304 13882418 27764836 55529672 111059344