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1412224 = 27111759
BaseRepresentation
bin101011000110010000000
32122202012121
411120302000
5330142344
650134024
715001162
oct5306200
92582177
101412224
11885030
12581314
133a5a48
1428a932
151cd684
hex158c80

1412224 has 64 divisors (see below), whose sum is σ = 3304800. Its totient is φ = 593920.

The previous prime is 1412221. The next prime is 1412227. The reversal of 1412224 is 4222141.

It is an interprime number because it is at equal distance from previous prime (1412221) and next prime (1412227).

It is a tau number, because it is divible by the number of its divisors (64).

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

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 a junction number, because it is equal to n+sod(n) for n = 1412198 and 1412207.

It is not an unprimeable number, because it can be changed into a prime (1412221) 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 7 ways as a sum of consecutive naturals, for example, 23907 + ... + 23965.

21412224 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 1412224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1652400).

1412224 is an abundant number, since it is smaller than the sum of its proper divisors (1892576).

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

1412224 is a wasteful number, since it uses less digits than its factorization.

1412224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 89 counting only the distinct ones).

The product of its digits is 128, while the sum is 16.

The square root of 1412224 is about 1188.3703126551. The cubic root of 1412224 is about 112.1935429043.

Adding to 1412224 its reverse (4222141), we get a palindrome (5634365).

The spelling of 1412224 in words is "one million, four hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 59 64 68 88 118 128 136 176 187 236 272 352 374 472 544 649 704 748 944 1003 1088 1298 1408 1496 1888 2006 2176 2596 2992 3776 4012 5192 5984 7552 8024 10384 11033 11968 16048 20768 22066 23936 32096 41536 44132 64192 83072 88264 128384 176528 353056 706112 1412224