Search a number
-
+
1363104 = 25324733
BaseRepresentation
bin101001100110010100000
32120020211100
411030302200
5322104404
645114400
714405031
oct5146240
92506740
101363104
11851136
12558a00
13389592
14276a88
151bdd39
hex14cca0

1363104 has 36 divisors (see below), whose sum is σ = 3877146. Its totient is φ = 454272.

The previous prime is 1363099. The next prime is 1363121. The reversal of 1363104 is 4013631.

It can be written as a sum of positive squares in only one way, i.e., 1299600 + 63504 = 1140^2 + 252^2 .

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 (18).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2079 + ... + 2654.

21363104 is an apocalyptic number.

It is an amenable number.

1363104 is an abundant number, since it is smaller than the sum of its proper divisors (2514042).

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

1363104 is a wasteful number, since it uses less digits than its factorization.

1363104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4749 (or 4738 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1363104 is about 1167.5204494997. The cubic root of 1363104 is about 110.8773907921.

Adding to 1363104 its reverse (4013631), we get a palindrome (5376735).

It can be divided in two parts, 136 and 3104, that added together give a triangular number (3240 = T80).

The spelling of 1363104 in words is "one million, three hundred sixty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 4733 9466 14199 18932 28398 37864 42597 56796 75728 85194 113592 151456 170388 227184 340776 454368 681552 1363104