Search a number
-
+
112349088 = 2532390101
BaseRepresentation
bin1101011001001…
…00111110100000
321211101220222100
412230210332200
5212230132323
615052010400
72532644235
oct654447640
9254356870
10112349088
1158466595
1231760a00
131a378667
1410cc778c
159ce3943
hex6b24fa0

112349088 has 36 divisors (see below), whose sum is σ = 319493538. Its totient is φ = 37449600.

The previous prime is 112349087. The next prime is 112349093. The reversal of 112349088 is 880943211.

It can be written as a sum of positive squares in only one way, i.e., 85599504 + 26749584 = 9252^2 + 5172^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (112349087) 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 5 ways as a sum of consecutive naturals, for example, 194763 + ... + 195338.

Almost surely, 2112349088 is an apocalyptic number.

112349088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

112349088 is an abundant number, since it is smaller than the sum of its proper divisors (207144450).

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

112349088 is a wasteful number, since it uses less digits than its factorization.

112349088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390117 (or 390106 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 112349088 is about 10599.4852705214. The cubic root of 112349088 is about 482.5287380308.

The spelling of 112349088 in words is "one hundred twelve million, three hundred forty-nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 390101 780202 1170303 1560404 2340606 3120808 3510909 4681212 6241616 7021818 9362424 12483232 14043636 18724848 28087272 37449696 56174544 112349088