Search a number
-
+
1230012 = 223371627
BaseRepresentation
bin100101100010010111100
32022111021000
410230102330
5303330022
642210300
713312020
oct4542274
92274230
101230012
11770143
124b3990
13340b24
14240380
151946ac
hex12c4bc

1230012 has 48 divisors (see below), whose sum is σ = 3646720. Its totient is φ = 351216.

The previous prime is 1229999. The next prime is 1230013. The reversal of 1230012 is 2100321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1229976 and 1230003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1230013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58 + ... + 1569.

21230012 is an apocalyptic number.

1230012 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 1230012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1823360).

1230012 is an abundant number, since it is smaller than the sum of its proper divisors (2416708).

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

1230012 is a wasteful number, since it uses less digits than its factorization.

1230012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1647 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1230012 is about 1109.0590606456. The cubic root of 1230012 is about 107.1444754041.

Adding to 1230012 its reverse (2100321), we get a palindrome (3330333).

The spelling of 1230012 in words is "one million, two hundred thirty thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 1627 3254 4881 6508 9762 11389 14643 19524 22778 29286 34167 43929 45556 58572 68334 87858 102501 136668 175716 205002 307503 410004 615006 1230012