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1001412 = 223227817
BaseRepresentation
bin11110100011111000100
31212212200100
43310133010
5224021122
633244100
711340366
oct3643704
91785610
101001412
11624415
12403630
13290a69
141c0d36
1514baac
hexf47c4

1001412 has 18 divisors (see below), whose sum is σ = 2531438. Its totient is φ = 333792.

The previous prime is 1001411. The next prime is 1001431. The reversal of 1001412 is 2141001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 876096 + 125316 = 936^2 + 354^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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 = 1001394 and 1001403.

It is not an unprimeable number, because it can be changed into a prime (1001411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13873 + ... + 13944.

21001412 is an apocalyptic number.

1001412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1001412 is an abundant number, since it is smaller than the sum of its proper divisors (1530026).

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

1001412 is a wasteful number, since it uses less digits than its factorization.

1001412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27827 (or 27822 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1001412 is about 1000.7057509578. The cubic root of 1001412 is about 100.0470445313.

Adding to 1001412 its reverse (2141001), we get a palindrome (3142413).

The spelling of 1001412 in words is "one million, one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 27817 55634 83451 111268 166902 250353 333804 500706 1001412