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.

2^{1306368} 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".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 128 144 162 168 189 192 216 224 243 252 256 288 324 336 378 384 432 448 486 504 567 576 648 672 729 756 768 864 896 972 1008 1134 1152 1296 1344 1458 1512 1701 1728 1792 1944 2016 2268 2304 2592 2688 2916 3024 3402 3456 3888 4032 4536 5103 5184 5376 5832 6048 6804 6912 7776 8064 9072 10206 10368 11664 12096 13608 15552 16128 18144 20412 20736 23328 24192 27216 31104 36288 40824 46656 48384 54432 62208 72576 81648 93312 108864 145152 163296 186624 217728 326592 435456 653184 1306368

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