Search a number
-
+
111242032 = 24114314699
BaseRepresentation
bin1101010000101…
…10101100110000
321202022200101021
412220112230300
5211434221112
615012145224
72520353536
oct650265460
9252280337
10111242032
115787a870
1231308214
131a07b7b5
1410aba156
159b75907
hex6a16b30

111242032 has 40 divisors (see below), whose sum is σ = 240609600. Its totient is φ = 49385280.

The previous prime is 111242011. The next prime is 111242039. The reversal of 111242032 is 230242111.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 111241997 and 111242015.

It is not an unprimeable number, because it can be changed into a prime (111242039) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 219 + ... + 14917.

It is an arithmetic number, because the mean of its divisors is an integer number (6015240).

Almost surely, 2111242032 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 111242032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120304800).

111242032 is an abundant number, since it is smaller than the sum of its proper divisors (129367568).

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

111242032 is a wasteful number, since it uses less digits than its factorization.

111242032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14761 (or 14755 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 111242032 is about 10547.1338286759. The cubic root of 111242032 is about 480.9386032517.

Adding to 111242032 its reverse (230242111), we get a palindrome (341484143).

The spelling of 111242032 in words is "one hundred eleven million, two hundred forty-two thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 43 44 86 88 172 176 344 473 688 946 1892 3784 7568 14699 29398 58796 117592 161689 235184 323378 632057 646756 1264114 1293512 2528228 2587024 5056456 6952627 10112912 13905254 27810508 55621016 111242032