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1306396 = 227133797
BaseRepresentation
bin100111110111100011100
32110101001001
410332330130
5313301041
644000044
714050510
oct4767434
92411031
101306396
11812573
12530024
13369820
14260140
151ac131
hex13ef1c

1306396 has 48 divisors (see below), whose sum is σ = 2919616. Its totient is φ = 497664.

The previous prime is 1306391. The next prime is 1306411. The reversal of 1306396 is 6936031.

1306396 = 4292 + 4302 + ... + 4352.

1306396 is nontrivially palindromic in base 6.

It is a Harshad number since it is a multiple of its sum of digits (28).

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 (1306391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13420 + ... + 13516.

21306396 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1306396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459808).

1306396 is an abundant number, since it is smaller than the sum of its proper divisors (1613220).

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

1306396 is a wasteful number, since it uses less digits than its factorization.

1306396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 28.

The square root of 1306396 is about 1142.9768151629. The cubic root of 1306396 is about 109.3179839976.

The spelling of 1306396 in words is "one million, three hundred six thousand, three hundred ninety-six".

Divisors: 1 2 4 7 13 14 26 28 37 52 74 91 97 148 182 194 259 364 388 481 518 679 962 1036 1261 1358 1924 2522 2716 3367 3589 5044 6734 7178 8827 13468 14356 17654 25123 35308 46657 50246 93314 100492 186628 326599 653198 1306396