Search a number
-
+
1428112 = 24741311
BaseRepresentation
bin101011100101010010000
32200120000001
411130222100
5331144422
650335344
715065410
oct5345220
92616001
101428112
11895a64
1258a554
133b004a
14292640
151d3227
hex15ca90

1428112 has 40 divisors (see below), whose sum is σ = 3249792. Its totient is φ = 595200.

The previous prime is 1428109. The next prime is 1428113. The reversal of 1428112 is 2118241.

It is a happy number.

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

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

It is a zygodrome in base 5.

It is a self number, because there is not a number n which added to its sum of digits gives 1428112.

It is not an unprimeable number, because it can be changed into a prime (1428113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4437 + ... + 4747.

21428112 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 1428112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624896).

1428112 is an abundant number, since it is smaller than the sum of its proper divisors (1821680).

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

1428112 is a wasteful number, since it uses less digits than its factorization.

1428112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 361 counting only the distinct ones).

The product of its digits is 128, while the sum is 19.

The square root of 1428112 is about 1195.0364011192. The cubic root of 1428112 is about 112.6127133726.

It can be divided in two parts, 1428 and 112, that added together give a triangular number (1540 = T55).

The spelling of 1428112 in words is "one million, four hundred twenty-eight thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 41 56 82 112 164 287 311 328 574 622 656 1148 1244 2177 2296 2488 4354 4592 4976 8708 12751 17416 25502 34832 51004 89257 102008 178514 204016 357028 714056 1428112