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1397268 = 2232371049
BaseRepresentation
bin101010101001000010100
32121222200200
411111020110
5324203033
645540500
714606445
oct5251024
92558620
101397268
11874874
12574730
1339bcb2
142852cc
151c9013
hex155214

1397268 has 36 divisors (see below), whose sum is σ = 3630900. Its totient is φ = 452736.

The previous prime is 1397267. The next prime is 1397287. The reversal of 1397268 is 8627931.

1397268 is a `hidden beast` number, since 1 + 397 + 268 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1258884 + 138384 = 1122^2 + 372^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 1 + 37 + 92 + 77 + 219 + 66 + 83 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1397261) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 808 + ... + 1856.

21397268 is an apocalyptic number.

1397268 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 1397268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1815450).

1397268 is an abundant number, since it is smaller than the sum of its proper divisors (2233632).

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

1397268 is a wasteful number, since it uses less digits than its factorization.

1397268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096 (or 1091 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 1397268 is about 1182.0609121361. The cubic root of 1397268 is about 111.7960787707.

The spelling of 1397268 in words is "one million, three hundred ninety-seven thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1049 1332 2098 3147 4196 6294 9441 12588 18882 37764 38813 77626 116439 155252 232878 349317 465756 698634 1397268