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1297128 = 233721103
BaseRepresentation
bin100111100101011101000
32102220022210
410330223220
5313002003
643445120
714011500
oct4745350
92386283
101297128
11806608
125267a0
13365541
1425aa00
151a9503
hex13cae8

1297128 has 48 divisors (see below), whose sum is σ = 3775680. Its totient is φ = 370272.

The previous prime is 1297123. The next prime is 1297129. The reversal of 1297128 is 8217921.

1297128 is nontrivially palindromic in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 1297095 and 1297104.

It is not an unprimeable number, because it can be changed into a prime (1297123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 625 + ... + 1727.

It is an arithmetic number, because the mean of its divisors is an integer number (78660).

21297128 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 1297128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1887840).

1297128 is an abundant number, since it is smaller than the sum of its proper divisors (2478552).

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

1297128 is a wasteful number, since it uses less digits than its factorization.

1297128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1115 counting only the distinct ones).

The product of its digits is 2016, while the sum is 30.

The square root of 1297128 is about 1138.9152734071. The cubic root of 1297128 is about 109.0588577558.

The spelling of 1297128 in words is "one million, two hundred ninety-seven thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1103 1176 2206 3309 4412 6618 7721 8824 13236 15442 23163 26472 30884 46326 54047 61768 92652 108094 162141 185304 216188 324282 432376 648564 1297128