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111068928 = 283316069
BaseRepresentation
bin1101001111011…
…00011100000000
321201222212221000
412213230130000
5211413201203
615004332000
72516033055
oct647543400
9251885830
10111068928
1157771803
1231244000
131a01aa79
1410a7302c
159b3e4a3
hex69ec700

111068928 has 72 divisors (see below), whose sum is σ = 328470800. Its totient is φ = 37020672.

The previous prime is 111068899. The next prime is 111068953. The reversal of 111068928 is 829860111.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 111068892 and 111068901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1123 + ... + 14946.

Almost surely, 2111068928 is an apocalyptic number.

111068928 is a gapful number since it is divisible by the number (18) 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 111068928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164235400).

111068928 is an abundant number, since it is smaller than the sum of its proper divisors (217401872).

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

111068928 is an equidigital number, since it uses as much as digits as its factorization.

111068928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16094 (or 16074 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The square root of 111068928 is about 10538.9244232986. The cubic root of 111068928 is about 480.6890104946.

It can be divided in two parts, 1 and 11068928, that added together give a square (11068929 = 33272).

The spelling of 111068928 in words is "one hundred eleven million, sixty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6912 16069 32138 48207 64276 96414 128552 144621 192828 257104 289242 385656 433863 514208 578484 771312 867726 1028416 1156968 1542624 1735452 2056832 2313936 3085248 3470904 4113664 4627872 6170496 6941808 9255744 12340992 13883616 18511488 27767232 37022976 55534464 111068928