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8054112 = 2531129263
BaseRepresentation
bin11110101110010101100000
3120011012011110
4132232111200
54030212422
6444343320
7125313243
oct36562540
916135143
108054112
1146011a0
122844b40
13188cc61
1410d925a
15a9160c
hex7ae560

8054112 has 96 divisors (see below), whose sum is σ = 23950080. Its totient is φ = 2347520.

The previous prime is 8054099. The next prime is 8054113. The reversal of 8054112 is 2114508.

It is a tau number, because it is divible by the number of its divisors (96).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8054113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30493 + ... + 30755.

It is an arithmetic number, because the mean of its divisors is an integer number (249480).

Almost surely, 28054112 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 8054112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11975040).

8054112 is an abundant number, since it is smaller than the sum of its proper divisors (15895968).

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

8054112 is a wasteful number, since it uses less digits than its factorization.

8054112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 8054112 is about 2837.9767440908. The cubic root of 8054112 is about 200.4499204324.

Subtracting from 8054112 its sum of digits (21), we obtain a triangular number (8054091 = T4013).

The spelling of 8054112 in words is "eight million, fifty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 32 33 44 48 58 66 87 88 96 116 132 174 176 232 263 264 319 348 352 464 526 528 638 696 789 928 957 1052 1056 1276 1392 1578 1914 2104 2552 2784 2893 3156 3828 4208 5104 5786 6312 7627 7656 8416 8679 10208 11572 12624 15254 15312 17358 22881 23144 25248 30508 30624 34716 45762 46288 61016 69432 83897 91524 92576 122032 138864 167794 183048 244064 251691 277728 335588 366096 503382 671176 732192 1006764 1342352 2013528 2684704 4027056 8054112