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8300112 = 243192479
BaseRepresentation
bin11111101010011001010000
3120121200121120
4133222121100
54111100422
6453522240
7130356402
oct37523120
916550546
108300112
114759aa7
122943380
131947c12
141160b72
15ade45c
hex7ea650

8300112 has 60 divisors (see below), whose sum is σ = 22677120. Its totient is φ = 2615616.

The previous prime is 8300101. The next prime is 8300129. The reversal of 8300112 is 2110038.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 8300091 and 8300100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17089 + ... + 17567.

It is an arithmetic number, because the mean of its divisors is an integer number (377952).

Almost surely, 28300112 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 8300112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11338560).

8300112 is an abundant number, since it is smaller than the sum of its proper divisors (14377008).

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

8300112 is a wasteful number, since it uses less digits than its factorization.

8300112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 8300112 is about 2880.9914959958. The cubic root of 8300112 is about 202.4702959021.

The spelling of 8300112 in words is "eight million, three hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 361 456 479 722 912 958 1083 1437 1444 1916 2166 2874 2888 3832 4332 5748 5776 7664 8664 9101 11496 17328 18202 22992 27303 36404 54606 72808 109212 145616 172919 218424 345838 436848 518757 691676 1037514 1383352 2075028 2766704 4150056 8300112