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111384252 = 223272233271
BaseRepresentation
bin1101010001110…
…01011010111100
321202120220110200
412220321122330
5212003244002
615015203500
72521515300
oct650713274
9252526420
10111384252
1157967701
1231376590
131a0cb455
1410b15d00
159ba2b1c
hex6a396bc

111384252 has 108 divisors (see below), whose sum is σ = 330142176. Its totient is φ = 31570560.

The previous prime is 111384241. The next prime is 111384253. The reversal of 111384252 is 252483111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111384253) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 410877 + ... + 411147.

It is an arithmetic number, because the mean of its divisors is an integer number (3056872).

Almost surely, 2111384252 is an apocalyptic number.

111384252 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 111384252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165071088).

111384252 is an abundant number, since it is smaller than the sum of its proper divisors (218757924).

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

111384252 is a wasteful number, since it uses less digits than its factorization.

111384252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 516 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 111384252 is about 10553.8737911726. The cubic root of 111384252 is about 481.1434717377.

The spelling of 111384252 in words is "one hundred eleven million, three hundred eighty-four thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 233 252 271 294 441 466 542 588 699 813 882 932 1084 1398 1626 1631 1764 1897 2097 2439 2796 3252 3262 3794 4194 4878 4893 5691 6524 7588 8388 9756 9786 11382 11417 13279 14679 17073 19572 22764 22834 26558 29358 34146 34251 39837 45668 53116 58716 63143 68292 68502 79674 102753 119511 126286 137004 159348 189429 205506 239022 252572 378858 411012 442001 478044 568287 757716 884002 1136574 1326003 1768004 2273148 2652006 3094007 3978009 5304012 6188014 7956018 9282021 12376028 15912036 18564042 27846063 37128084 55692126 111384252