Search a number
-
+
111444372 = 223213534493
BaseRepresentation
bin1101010010010…
…00000110010100
321202200221221100
412221020012110
5212012204442
615020350100
72522155464
oct651100624
9252627840
10111444372
11579a8896
12313a5330
131a11c920
1410b2dba4
159bb584c
hex6a48194

111444372 has 72 divisors (see below), whose sum is σ = 309169224. Its totient is φ = 33636096.

The previous prime is 111444371. The next prime is 111444397. The reversal of 111444372 is 273444111.

It can be written as a sum of positive squares in 4 ways, for example, as 43480836 + 67963536 = 6594^2 + 8244^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111444371) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22558 + ... + 27050.

It is an arithmetic number, because the mean of its divisors is an integer number (4294017).

Almost surely, 2111444372 is an apocalyptic number.

111444372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111444372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154584612).

111444372 is an abundant number, since it is smaller than the sum of its proper divisors (197724852).

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

111444372 is a wasteful number, since it uses less digits than its factorization.

111444372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4569 (or 4564 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 111444372 is about 10556.7216502094. The cubic root of 111444372 is about 481.2300224012.

Adding to 111444372 its reverse (273444111), we get a palindrome (384888483).

The spelling of 111444372 in words is "one hundred eleven million, four hundred forty-four thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 53 78 106 117 156 159 212 234 318 468 477 636 689 954 1378 1908 2067 2756 4134 4493 6201 8268 8986 12402 13479 17972 24804 26958 40437 53916 58409 80874 116818 161748 175227 233636 238129 350454 476258 525681 700908 714387 952516 1051362 1428774 2102724 2143161 2857548 3095677 4286322 6191354 8572644 9287031 12382708 18574062 27861093 37148124 55722186 111444372