Search a number
-
+
111361096 = 23711293617
BaseRepresentation
bin1101010001100…
…11110001001000
321202112201201001
412220303301020
5212002023341
615014504344
72521360630
oct650636110
9252481631
10111361096
1157951270
12313650b4
131a0c0a52
1410b0b6c0
159b9ad31
hex6a33c48

111361096 has 64 divisors (see below), whose sum is σ = 261636480. Its totient is φ = 43169280.

The previous prime is 111361087. The next prime is 111361123. The reversal of 111361096 is 690163111.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180180 + ... + 180796.

It is an arithmetic number, because the mean of its divisors is an integer number (4088070).

Almost surely, 2111361096 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 111361096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130818240).

111361096 is an abundant number, since it is smaller than the sum of its proper divisors (150275384).

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

111361096 is a wasteful number, since it uses less digits than its factorization.

111361096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 28.

The square root of 111361096 is about 10552.7766962065. The cubic root of 111361096 is about 481.1101273161.

The spelling of 111361096 in words is "one hundred eleven million, three hundred sixty-one thousand, ninety-six".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 293 308 586 616 617 1172 1234 2051 2344 2468 3223 4102 4319 4936 6446 6787 8204 8638 12892 13574 16408 17276 22561 25784 27148 34552 45122 47509 54296 90244 95018 180488 180781 190036 361562 380072 723124 1265467 1446248 1988591 2530934 3977182 5061868 7954364 10123736 13920137 15908728 27840274 55680548 111361096