Search a number
-
+
111309372 = 223219353461
BaseRepresentation
bin1101010001001…
…11001000111100
321202110002202100
412220213020330
5211443344442
615013425100
72521054056
oct650471074
9252402670
10111309372
1157916419
123133b190
131a0a3345
1410ad68d6
159b8a84c
hex6a2723c

111309372 has 72 divisors (see below), whose sum is σ = 297657360. Its totient is φ = 34974720.

The previous prime is 111309371. The next prime is 111309409. The reversal of 111309372 is 273903111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111309371) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 241222 + ... + 241682.

It is an arithmetic number, because the mean of its divisors is an integer number (4134130).

Almost surely, 2111309372 is an apocalyptic number.

111309372 is a gapful number since it is divisible by the number (12) 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 111309372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148828680).

111309372 is an abundant number, since it is smaller than the sum of its proper divisors (186347988).

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

111309372 is a wasteful number, since it uses less digits than its factorization.

111309372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 111309372 is about 10550.3256821768. The cubic root of 111309372 is about 481.0356285462.

It can be divided in two parts, 11130 and 9372, that added together give a palindrome (20502).

The spelling of 111309372 in words is "one hundred eleven million, three hundred nine thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 353 461 684 706 922 1059 1383 1412 1844 2118 2766 3177 4149 4236 5532 6354 6707 8298 8759 12708 13414 16596 17518 20121 26277 26828 35036 40242 52554 60363 78831 80484 105108 120726 157662 162733 241452 315324 325466 488199 650932 976398 1464597 1952796 2929194 3091927 5858388 6183854 9275781 12367708 18551562 27827343 37103124 55654686 111309372