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1362016 = 25311373
BaseRepresentation
bin101001100100001100000
32120012100001
411030201200
5322041031
645105344
714401615
oct5144140
92505301
101362016
11850337
12558254
13388c36
1427650c
151bd861
hex14c860

1362016 has 24 divisors (see below), whose sum is σ = 2769984. Its totient is φ = 658560.

The previous prime is 1361999. The next prime is 1362017. The reversal of 1362016 is 6102631.

It is a junction number, because it is equal to n+sod(n) for n = 1361984 and 1362002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1362017) 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 3 ways as a sum of consecutive naturals, for example, 306 + ... + 1678.

It is an arithmetic number, because the mean of its divisors is an integer number (115416).

21362016 is an apocalyptic number.

1362016 is a gapful number since it is divisible by the number (16) 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 1362016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384992).

1362016 is an abundant number, since it is smaller than the sum of its proper divisors (1407968).

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

1362016 is a wasteful number, since it uses less digits than its factorization.

1362016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414 (or 1406 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 1362016 is about 1167.0544117564. The cubic root of 1362016 is about 110.8478829650.

Adding to 1362016 its reverse (6102631), we get a palindrome (7464647).

The spelling of 1362016 in words is "one million, three hundred sixty-two thousand, sixteen".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 992 1373 2746 5492 10984 21968 42563 43936 85126 170252 340504 681008 1362016