Search a number
-
+
1074112 = 26131291
BaseRepresentation
bin100000110001111000000
32000120101221
410012033000
5233332422
635004424
712062344
oct4061700
92016357
101074112
11673aa6
12439714
132b7b90
141dd624
151633c7
hex1063c0

1074112 has 28 divisors (see below), whose sum is σ = 2297176. Its totient is φ = 495360.

The previous prime is 1074109. The next prime is 1074113. The reversal of 1074112 is 2114701.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1074113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 187 + ... + 1477.

It is an arithmetic number, because the mean of its divisors is an integer number (82042).

21074112 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 1074112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148588).

1074112 is an abundant number, since it is smaller than the sum of its proper divisors (1223064).

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

1074112 is a wasteful number, since it uses less digits than its factorization.

1074112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 16.

The square root of 1074112 is about 1036.3937475689. The cubic root of 1074112 is about 102.4117662261.

Adding to 1074112 its reverse (2114701), we get a palindrome (3188813).

The spelling of 1074112 in words is "one million, seventy-four thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 1291 2582 5164 10328 16783 20656 33566 41312 67132 82624 134264 268528 537056 1074112