Search a number
-
+
1284012 = 22351321
BaseRepresentation
bin100111001011110101100
32102020100000
410321132230
5312042022
643304300
713625322
oct4713654
92366300
101284012
117a7774
1251b090
1335c592
14255d12
151a56ac
hex1397ac

1284012 has 36 divisors (see below), whose sum is σ = 3368456. Its totient is φ = 427680.

The previous prime is 1284007. The next prime is 1284037. The reversal of 1284012 is 2104821.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×12840122 = 3297373632288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 312 + ... + 1632.

21284012 is an apocalyptic number.

1284012 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 1284012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684228).

1284012 is an abundant number, since it is smaller than the sum of its proper divisors (2084444).

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

1284012 is a wasteful number, since it uses less digits than its factorization.

1284012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1340 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1284012 is about 1133.1425329587. The cubic root of 1284012 is about 108.6900263848.

Adding to 1284012 its reverse (2104821), we get a palindrome (3388833).

The spelling of 1284012 in words is "one million, two hundred eighty-four thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 1321 2642 3963 5284 7926 11889 15852 23778 35667 47556 71334 107001 142668 214002 321003 428004 642006 1284012