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112401008 = 24174110079
BaseRepresentation
bin1101011001100…
…01101001110000
321211111120012022
412230301221300
5212233313013
615053051012
72533251506
oct654615160
9254446168
10112401008
11584a15a5
1231786a68
131a396195
1410cdc676
159d04008
hex6b31a70

112401008 has 40 divisors (see below), whose sum is σ = 236234880. Its totient is φ = 51599360.

The previous prime is 112401001. The next prime is 112401031. The reversal of 112401008 is 800104211.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112401001) 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 7 ways as a sum of consecutive naturals, for example, 6113 + ... + 16191.

It is an arithmetic number, because the mean of its divisors is an integer number (5905872).

Almost surely, 2112401008 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 112401008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118117440).

112401008 is an abundant number, since it is smaller than the sum of its proper divisors (123833872).

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

112401008 is a wasteful number, since it uses less digits than its factorization.

112401008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10145 (or 10139 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

The square root of 112401008 is about 10601.9341631610. The cubic root of 112401008 is about 482.6030570848.

Adding to 112401008 its reverse (800104211), we get a palindrome (912505219).

The spelling of 112401008 in words is "one hundred twelve million, four hundred one thousand, eight".

Divisors: 1 2 4 8 16 17 34 41 68 82 136 164 272 328 656 697 1394 2788 5576 10079 11152 20158 40316 80632 161264 171343 342686 413239 685372 826478 1370744 1652956 2741488 3305912 6611824 7025063 14050126 28100252 56200504 112401008