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1325268 = 223371753
BaseRepresentation
bin101000011100011010100
32111022221000
411003203110
5314402033
644223300
714156520
oct5034324
92438830
101325268
1182576a
1253ab30
133752a9
14266d80
151b2a13
hex1438d4

1325268 has 48 divisors (see below), whose sum is σ = 3928960. Its totient is φ = 378432.

The previous prime is 1325267. The next prime is 1325273. The reversal of 1325268 is 8625231.

1325268 is a `hidden beast` number, since 132 + 526 + 8 = 666.

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

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 (1325263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121 + ... + 1632.

21325268 is an apocalyptic number.

1325268 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 1325268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1964480).

1325268 is an abundant number, since it is smaller than the sum of its proper divisors (2603692).

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

1325268 is a wasteful number, since it uses less digits than its factorization.

1325268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1773 (or 1765 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 1325268 is about 1151.2028491973. The cubic root of 1325268 is about 109.8418664436.

It can be divided in two parts, 13 and 25268, that added together give a square (25281 = 1592).

The spelling of 1325268 in words is "one million, three hundred twenty-five thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 1753 3506 5259 7012 10518 12271 15777 21036 24542 31554 36813 47331 49084 63108 73626 94662 110439 147252 189324 220878 331317 441756 662634 1325268