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BaseRepresentation
bin100111110111100000000
32110101000000
410332330000
5313300433
644000000
714050440
oct4767400
92411000
101306368
11812548
12530000
133697cb
14260120
151ac113
hex13ef00

1306368 has 126 divisors (see below), whose sum is σ = 4468184. Its totient is φ = 373248.

The previous prime is 1306367. The next prime is 1306373. The reversal of 1306368 is 8636031.

It is a tau number, because it is divible by the number of its divisors (126).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 6 and base 12.

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1306367) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 186621 + ... + 186627.

21306368 is an apocalyptic number.

1306368 is a gapful number since it is divisible by the number (18) 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 1306368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2234092).

1306368 is an abundant number, since it is smaller than the sum of its proper divisors (3161816).

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

1306368 is an frugal number, since it uses more digits than its factorization.

1306368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1306368 is about 1142.9645663799. The cubic root of 1306368 is about 109.3172029875.

1306368 divided by its sum of digits (27) gives a palindrome (48384).

It can be divided in two parts, 13063 and 68, that added together give a palindrome (13131).

The spelling of 1306368 in words is "one million, three hundred six thousand, three hundred sixty-eight".