Search a number
-
+
111712020 = 223571913999
BaseRepresentation
bin1101010100010…
…01011100010100
321210012120002020
412222021130110
5212044241040
615030213140
72524352010
oct652113424
9253176066
10111712020
1158070992
12314b41b0
131a1b46b4
1410b9d540
159c19cd0
hex6a89714

111712020 has 96 divisors (see below), whose sum is σ = 376320000. Its totient is φ = 24188544.

The previous prime is 111711983. The next prime is 111712021. The reversal of 111712020 is 20217111.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111712021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 981 + ... + 14979.

It is an arithmetic number, because the mean of its divisors is an integer number (3920000).

Almost surely, 2111712020 is an apocalyptic number.

111712020 is a gapful number since it is divisible by the number (10) 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 111712020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188160000).

111712020 is an abundant number, since it is smaller than the sum of its proper divisors (264607980).

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

111712020 is a wasteful number, since it uses less digits than its factorization.

111712020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14037 (or 14035 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 15.

The square root of 111712020 is about 10569.3907109161. The cubic root of 111712020 is about 481.6149596811.

Adding to 111712020 its reverse (20217111), we get a palindrome (131929131).

The spelling of 111712020 in words is "one hundred eleven million, seven hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 19 20 21 28 30 35 38 42 57 60 70 76 84 95 105 114 133 140 190 210 228 266 285 380 399 420 532 570 665 798 1140 1330 1596 1995 2660 3990 7980 13999 27998 41997 55996 69995 83994 97993 139990 167988 195986 209985 265981 279980 293979 391972 419970 489965 531962 587958 797943 839940 979930 1063924 1175916 1329905 1469895 1595886 1861867 1959860 2659810 2939790 3191772 3723734 3989715 5319620 5585601 5879580 7447468 7979430 9309335 11171202 15958860 18618670 22342404 27928005 37237340 55856010 111712020