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80006112 = 25321914621
BaseRepresentation
bin1001100010011…
…00101111100000
312120112201202100
410301030233200
5130440143422
611534450400
71661016654
oct461145740
9176481670
1080006112
114118585a
1222963a00
13137630c4
14a8a8a64
1570557ac
hex4c4cbe0

80006112 has 72 divisors (see below), whose sum is σ = 239508360. Its totient is φ = 25263360.

The previous prime is 80006111. The next prime is 80006119. The reversal of 80006112 is 21160008.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80006111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1839 + ... + 12782.

It is an arithmetic number, because the mean of its divisors is an integer number (3326505).

Almost surely, 280006112 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 80006112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119754180).

80006112 is an abundant number, since it is smaller than the sum of its proper divisors (159502248).

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

80006112 is a wasteful number, since it uses less digits than its factorization.

80006112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14656 (or 14645 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 80006112 is about 8944.6135746605. The cubic root of 80006112 is about 430.8979109810.

The spelling of 80006112 in words is "eighty million, six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 5472 14621 29242 43863 58484 87726 116968 131589 175452 233936 263178 277799 350904 467872 526356 555598 701808 833397 1052712 1111196 1403616 1666794 2105424 2222392 2500191 3333588 4210848 4444784 5000382 6667176 8889568 10000764 13334352 20001528 26668704 40003056 80006112