Search a number
-
+
1352128 = 2637571
BaseRepresentation
bin101001010000111000000
32112200202211
411022013000
5321232003
644551504
714331031
oct5120700
92480684
101352128
11843968
12552594
1338459b
14272a88
151ba96d
hex14a1c0

1352128 has 28 divisors (see below), whose sum is σ = 2760472. Its totient is φ = 656640.

The previous prime is 1352123. The next prime is 1352149. The reversal of 1352128 is 8212531.

It is a super-4 number, since 4×13521284 (a number of 26 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1352099 and 1352108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1352123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2083 + ... + 2653.

21352128 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 1352128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1380236).

1352128 is an abundant number, since it is smaller than the sum of its proper divisors (1408344).

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

1352128 is an equidigital number, since it uses as much as digits as its factorization.

1352128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 610 counting only the distinct ones).

The product of its digits is 480, while the sum is 22.

The square root of 1352128 is about 1162.8103886705. The cubic root of 1352128 is about 110.5789857255.

Adding to 1352128 its reverse (8212531), we get a palindrome (9564659).

It can be divided in two parts, 1352 and 128, that multiplied together give a square (173056 = 4162).

The spelling of 1352128 in words is "one million, three hundred fifty-two thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 32 37 64 74 148 296 571 592 1142 1184 2284 2368 4568 9136 18272 21127 36544 42254 84508 169016 338032 676064 1352128