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111703328 = 25112171697
BaseRepresentation
bin1101010100001…
…11010100100000
321210012010011022
412222013110200
5212044001303
615030105012
72524314452
oct652072440
9253163138
10111703328
1158065400
12314ab168
131a1b0759
1410b9a2d2
159c17438
hex6a87520

111703328 has 72 divisors (see below), whose sum is σ = 256095756. Its totient is φ = 47759360.

The previous prime is 111703313. The next prime is 111703367. The reversal of 111703328 is 823307111.

It can be written as a sum of positive squares in 2 ways, for example, as 91164304 + 20539024 = 9548^2 + 4532^2 .

It is a junction number, because it is equal to n+sod(n) for n = 111703297 and 111703306.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 64976 + ... + 66672.

Almost surely, 2111703328 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 111703328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128047878).

111703328 is an abundant number, since it is smaller than the sum of its proper divisors (144392428).

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

111703328 is a wasteful number, since it uses less digits than its factorization.

111703328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1746 (or 1727 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 111703328 is about 10568.9795155445. The cubic root of 111703328 is about 481.6024683192.

The spelling of 111703328 in words is "one hundred eleven million, seven hundred three thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 121 136 176 187 242 272 352 374 484 544 748 968 1496 1697 1936 2057 2992 3394 3872 4114 5984 6788 8228 13576 16456 18667 27152 28849 32912 37334 54304 57698 65824 74668 115396 149336 205337 230792 298672 317339 410674 461584 597344 634678 821348 923168 1269356 1642696 2538712 3285392 3490729 5077424 6570784 6981458 10154848 13962916 27925832 55851664 111703328