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1412112 = 243133173
BaseRepresentation
bin101011000110000010000
32122202001110
411120300100
5330141422
650133320
715000642
oct5306020
92582043
101412112
11884a39
12581240
133a5990
1428a892
151cd60c
hex158c10

1412112 has 80 divisors (see below), whose sum is σ = 4110848. Its totient is φ = 414720.

The previous prime is 1412107. The next prime is 1412141. The reversal of 1412112 is 2112141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 19308 + ... + 19380.

21412112 is an apocalyptic number.

1412112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1412112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2055424).

1412112 is an abundant number, since it is smaller than the sum of its proper divisors (2698736).

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

1412112 is a wasteful number, since it uses less digits than its factorization.

1412112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 122 counting only the distinct ones).

The product of its digits is 16, while the sum is 12.

The square root of 1412112 is about 1188.3231883625. The cubic root of 1412112 is about 112.1905768949.

Adding to 1412112 its reverse (2112141), we get a palindrome (3524253).

It can be divided in two parts, 141 and 2112, that multiplied together give a palindrome (297792).

The spelling of 1412112 in words is "one million, four hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 39 48 52 62 73 78 93 104 124 146 156 186 208 219 248 292 312 372 403 438 496 584 624 744 806 876 949 1168 1209 1488 1612 1752 1898 2263 2418 2847 3224 3504 3796 4526 4836 5694 6448 6789 7592 9052 9672 11388 13578 15184 18104 19344 22776 27156 29419 36208 45552 54312 58838 88257 108624 117676 176514 235352 353028 470704 706056 1412112