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112041504 = 2532563691
BaseRepresentation
bin1101010110110…
…01111000100000
321210211022001100
412223121320200
5212140312004
615041234400
72530223421
oct653317040
9253738040
10112041504
1158276493
1231632a00
131a29b663
1410c47648
159c82739
hex6ad9e20

112041504 has 72 divisors (see below), whose sum is σ = 319645872. Its totient is φ = 37226880.

The previous prime is 112041493. The next prime is 112041539. The reversal of 112041504 is 405140211.

112041504 is a `hidden beast` number, since 1 + 120 + 41 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 161799 + ... + 162489.

It is an arithmetic number, because the mean of its divisors is an integer number (4439526).

Almost surely, 2112041504 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 112041504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159822936).

112041504 is an abundant number, since it is smaller than the sum of its proper divisors (207604368).

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

112041504 is a wasteful number, since it uses less digits than its factorization.

112041504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 112041504 is about 10584.9659423165. The cubic root of 112041504 is about 482.0879874725.

Adding to 112041504 its reverse (405140211), we get a palindrome (517181715).

It can be divided in two parts, 1120 and 41504, that added together give a palindrome (42624).

The spelling of 112041504 in words is "one hundred twelve million, forty-one thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 563 691 1126 1382 1689 2073 2252 2764 3378 4146 4504 5067 5528 6219 6756 8292 9008 10134 11056 12438 13512 16584 18016 20268 22112 24876 27024 33168 40536 49752 54048 66336 81072 99504 162144 199008 389033 778066 1167099 1556132 2334198 3112264 3501297 4668396 6224528 7002594 9336792 12449056 14005188 18673584 28010376 37347168 56020752 112041504