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1361412 = 2232132909
BaseRepresentation
bin101001100011000000100
32120011111200
411030120010
5322031122
645102500
714400063
oct5143004
92504450
101361412
1184a938
12557a30
13388890
142761da
151bd5ac
hex14c604

1361412 has 36 divisors (see below), whose sum is σ = 3707340. Its totient is φ = 418752.

The previous prime is 1361401. The next prime is 1361417. The reversal of 1361412 is 2141631.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 695556 + 665856 = 834^2 + 816^2 .

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

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

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

It is not an unprimeable number, because it can be changed into a prime (1361417) 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 11 ways as a sum of consecutive naturals, for example, 987 + ... + 1922.

21361412 is an apocalyptic number.

1361412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1361412 is an abundant number, since it is smaller than the sum of its proper divisors (2345928).

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

1361412 is a wasteful number, since it uses less digits than its factorization.

1361412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2932 (or 2927 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 1361412 is about 1166.7956119218. The cubic root of 1361412 is about 110.8314949978.

It can be divided in two parts, 13 and 61412, that added together give a triangular number (61425 = T350).

The spelling of 1361412 in words is "one million, three hundred sixty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 2909 5818 8727 11636 17454 26181 34908 37817 52362 75634 104724 113451 151268 226902 340353 453804 680706 1361412