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1363164 = 2231123449
BaseRepresentation
bin101001100110011011100
32120020220120
411030303130
5322110124
645114540
714405145
oct5146334
92506816
101363164
11851190
12558a50
1338960a
14276acc
151bdd79
hex14ccdc

1363164 has 48 divisors (see below), whose sum is σ = 3628800. Its totient is φ = 394240.

The previous prime is 1363157. The next prime is 1363171. The reversal of 1363164 is 4613631.

It is an interprime number because it is at equal distance from previous prime (1363157) and next prime (1363171).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2812 + ... + 3260.

It is an arithmetic number, because the mean of its divisors is an integer number (75600).

21363164 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 1363164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1814400).

1363164 is an abundant number, since it is smaller than the sum of its proper divisors (2265636).

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

1363164 is a wasteful number, since it uses less digits than its factorization.

1363164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 488 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

The square root of 1363164 is about 1167.5461446984. The cubic root of 1363164 is about 110.8790176051.

Adding to 1363164 its reverse (4613631), we get a palindrome (5976795).

It can be divided in two parts, 13631 and 64, that added together give a triangular number (13695 = T165).

The spelling of 1363164 in words is "one million, three hundred sixty-three thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 253 276 449 506 759 898 1012 1347 1518 1796 2694 3036 4939 5388 9878 10327 14817 19756 20654 29634 30981 41308 59268 61962 113597 123924 227194 340791 454388 681582 1363164