Search a number
-
+
111938190 = 235713131313
BaseRepresentation
bin1101010110000…
…00101010001110
321210122001022220
412223000222032
5212124010230
615035120210
72526313260
oct653005216
9253561286
10111938190
1158205901
12315a3066
131a263620
1410c1bb30
159c61d10
hex6ac0a8e

111938190 has 128 divisors (see below), whose sum is σ = 334236672. Its totient is φ = 23362560.

The previous prime is 111938153. The next prime is 111938191. The reversal of 111938190 is 91839111.

It is a happy number.

It is a super-2 number, since 2×1119381902 = 25060316760952200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111938191) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 357474 + ... + 357786.

It is an arithmetic number, because the mean of its divisors is an integer number (2611224).

Almost surely, 2111938190 is an apocalyptic number.

111938190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 111938190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167118336).

111938190 is an abundant number, since it is smaller than the sum of its proper divisors (222298482).

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

111938190 is a wasteful number, since it uses less digits than its factorization.

111938190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474.

The product of its (nonzero) digits is 1944, while the sum is 33.

The square root of 111938190 is about 10580.0845932346. The cubic root of 111938190 is about 481.9397633671.

The spelling of 111938190 in words is "one hundred eleven million, nine hundred thirty-eight thousand, one hundred ninety".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 131 182 195 210 262 273 313 390 393 455 546 626 655 786 910 917 939 1310 1365 1565 1703 1834 1878 1965 2191 2730 2751 3130 3406 3930 4069 4382 4585 4695 5109 5502 6573 8138 8515 9170 9390 10218 10955 11921 12207 13146 13755 17030 20345 21910 23842 24414 25545 27510 28483 32865 35763 40690 41003 51090 56966 59605 61035 65730 71526 82006 85449 119210 122070 123009 142415 170898 178815 205015 246018 284830 287021 357630 410030 427245 533039 574042 615045 854490 861063 1066078 1230090 1435105 1599117 1722126 2665195 2870210 3198234 3731273 4305315 5330390 7462546 7995585 8610630 11193819 15991170 18656365 22387638 37312730 55969095 111938190