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112411424 = 252924177
BaseRepresentation
bin1101011001101…
…00001100100000
321211112002111002
412230310030200
5212234131144
615053211132
72533324046
oct654641440
9254462432
10112411424
11584a9404
1231790aa8
131a39ab48
1410d02396
159d0714e
hex6b34320

112411424 has 36 divisors (see below), whose sum is σ = 229259394. Its totient is φ = 54254592.

The previous prime is 112411399. The next prime is 112411433. The reversal of 112411424 is 424114211.

It can be written as a sum of positive squares in 3 ways, for example, as 110923024 + 1488400 = 10532^2 + 1220^2 .

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 112411396 and 112411405.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 24824 + ... + 29000.

Almost surely, 2112411424 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 112411424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114629697).

112411424 is an abundant number, since it is smaller than the sum of its proper divisors (116847970).

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

112411424 is an equidigital number, since it uses as much as digits as its factorization.

112411424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4245 (or 4208 counting only the distinct ones).

The product of its digits is 256, while the sum is 20.

The square root of 112411424 is about 10602.4253829018. The cubic root of 112411424 is about 482.6179639445.

Adding to 112411424 its reverse (424114211), we get a palindrome (536525635).

The spelling of 112411424 in words is "one hundred twelve million, four hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 841 928 1682 3364 4177 6728 8354 13456 16708 26912 33416 66832 121133 133664 242266 484532 969064 1938128 3512857 3876256 7025714 14051428 28102856 56205712 112411424