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112163064 = 233133071171
BaseRepresentation
bin1101010111101…
…11100011111000
321211001110210120
412223313203320
5212203204224
615044013240
72531241006
oct653674370
9254043716
10112163064
1158349852
1231691220
131a311aa0
1410c79a76
159ca8779
hex6af78f8

112163064 has 64 divisors (see below), whose sum is σ = 303219840. Its totient is φ = 34369920.

The previous prime is 112163063. The next prime is 112163069. The reversal of 112163064 is 460361211.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112163063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95199 + ... + 96369.

It is an arithmetic number, because the mean of its divisors is an integer number (4737810).

Almost surely, 2112163064 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 112163064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151609920).

112163064 is an abundant number, since it is smaller than the sum of its proper divisors (191056776).

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

112163064 is a wasteful number, since it uses less digits than its factorization.

112163064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500 (or 1496 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 112163064 is about 10590.7064920146. The cubic root of 112163064 is about 482.2622723958.

The spelling of 112163064 in words is "one hundred twelve million, one hundred sixty-three thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 307 312 614 921 1171 1228 1842 2342 2456 3513 3684 3991 4684 7026 7368 7982 9368 11973 14052 15223 15964 23946 28104 30446 31928 45669 47892 60892 91338 95784 121784 182676 359497 365352 718994 1078491 1437988 2156982 2875976 4313964 4673461 8627928 9346922 14020383 18693844 28040766 37387688 56081532 112163064