Search a number
-
+
111028368 = 24311439479
BaseRepresentation
bin1101001111000…
…10100010010000
321201220211021210
412213202202100
5211410401433
615003420120
72515503603
oct647424220
9251824253
10111028368
1157744290
1231224640
131a005479
1410a6233a
159b32463
hex69e2890

111028368 has 80 divisors (see below), whose sum is σ = 314265600. Its totient is φ = 33498240.

The previous prime is 111028363. The next prime is 111028373. The reversal of 111028368 is 863820111.

It is a Cunningham number, because it is equal to 105372-1.

It is an interprime number because it is at equal distance from previous prime (111028363) and next prime (111028373).

It is not an unprimeable number, because it can be changed into a prime (111028361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 231553 + ... + 232031.

It is an arithmetic number, because the mean of its divisors is an integer number (3928320).

Almost surely, 2111028368 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 111028368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157132800).

111028368 is an abundant number, since it is smaller than the sum of its proper divisors (203237232).

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

111028368 is a wasteful number, since it uses less digits than its factorization.

111028368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 111028368 is about 10536.9999525482. Note that the first 4 decimals coincide. The cubic root of 111028368 is about 480.6304909177.

Adding to 111028368 its reverse (863820111), we get a palindrome (974848479).

The spelling of 111028368 in words is "one hundred eleven million, twenty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 439 479 528 878 958 1317 1437 1756 1916 2634 2874 3512 3832 4829 5268 5269 5748 7024 7664 9658 10536 10538 11496 14487 15807 19316 21072 21076 22992 28974 31614 38632 42152 57948 63228 77264 84304 115896 126456 210281 231792 252912 420562 630843 841124 1261686 1682248 2313091 2523372 3364496 4626182 5046744 6939273 9252364 10093488 13878546 18504728 27757092 37009456 55514184 111028368