Search a number
-
+
111000320 = 28586719
BaseRepresentation
bin1101001110110…
…11101100000000
321201212101210222
412213123230000
5211404002240
615003042212
72515326044
oct647335400
9251771728
10111000320
1157725202
1231210368
1319cc5782
1410a56024
159b28eb5
hex69dbb00

111000320 has 36 divisors (see below), whose sum is σ = 265883520. Its totient is φ = 44399616.

The previous prime is 111000289. The next prime is 111000341. The reversal of 111000320 is 23000111.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 111000298 and 111000307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 42080 + ... + 44639.

Almost surely, 2111000320 is an apocalyptic number.

111000320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111000320 is an abundant number, since it is smaller than the sum of its proper divisors (154883200).

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

111000320 is an frugal number, since it uses more digits than its factorization.

111000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86740 (or 86726 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 111000320 is about 10535.6689393697. The cubic root of 111000320 is about 480.5900151979.

Adding to 111000320 its reverse (23000111), we get a palindrome (134000431).

The spelling of 111000320 in words is "one hundred eleven million, three hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 86719 173438 346876 433595 693752 867190 1387504 1734380 2775008 3468760 5550016 6937520 11100032 13875040 22200064 27750080 55500160 111000320