Search a number
-
+
1201024 = 2711853
BaseRepresentation
bin100100101001110000000
32021000111101
410211032000
5301413044
641424144
713131346
oct4451600
92230441
101201024
11750390
1249b054
13330886
14233996
1518acd4
hex125380

1201024 has 32 divisors (see below), whose sum is σ = 2613240. Its totient is φ = 545280.

The previous prime is 1201021. The next prime is 1201027. The reversal of 1201024 is 4201021.

It is an interprime number because it is at equal distance from previous prime (1201021) and next prime (1201027).

It is a tau number, because it is divible by the number of its divisors (32).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 1201024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201021) 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, 982 + ... + 1834.

21201024 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 1201024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306620).

1201024 is an abundant number, since it is smaller than the sum of its proper divisors (1412216).

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

1201024 is an equidigital number, since it uses as much as digits as its factorization.

1201024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 1201024 is about 1095.9124052587. The cubic root of 1201024 is about 106.2960750571.

Adding to 1201024 its reverse (4201021), we get a palindrome (5402045).

The spelling of 1201024 in words is "one million, two hundred one thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 853 1408 1706 3412 6824 9383 13648 18766 27296 37532 54592 75064 109184 150128 300256 600512 1201024