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896112 = 243272127
BaseRepresentation
bin11011010110001110000
31200112020100
43122301300
5212133422
631112400
710421400
oct3326160
91615210
10896112
11562298
12372700
13254b59
14194800
1512a7ac
hexdac70

896112 has 90 divisors (see below), whose sum is σ = 2940288. Its totient is φ = 254016.

The previous prime is 896111. The next prime is 896113. The reversal of 896112 is 211698.

896112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (896111) and next prime (896113).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (896111) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6993 + ... + 7119.

2896112 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 896112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470144).

896112 is an abundant number, since it is smaller than the sum of its proper divisors (2044176).

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

896112 is a wasteful number, since it uses less digits than its factorization.

896112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 139 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 896112 is about 946.6319242451. The cubic root of 896112 is about 96.4097073034.

The spelling of 896112 in words is "eight hundred ninety-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 127 144 147 168 196 252 254 294 336 381 392 441 504 508 588 762 784 882 889 1008 1016 1143 1176 1524 1764 1778 2032 2286 2352 2667 3048 3528 3556 4572 5334 6096 6223 7056 7112 8001 9144 10668 12446 14224 16002 18288 18669 21336 24892 32004 37338 42672 49784 56007 64008 74676 99568 112014 128016 149352 224028 298704 448056 896112