Search a number
-
+
1103440 = 245131061
BaseRepresentation
bin100001101011001010000
32002001122011
410031121100
5240302230
635352304
712244012
oct4153120
92061564
101103440
11694038
12452694
132c8330
1420a1b2
1516be2a
hex10d650

1103440 has 40 divisors (see below), whose sum is σ = 2765448. Its totient is φ = 407040.

The previous prime is 1103437. The next prime is 1103449. The reversal of 1103440 is 443011.

It can be written as a sum of positive squares in 4 ways, for example, as 46656 + 1056784 = 216^2 + 1028^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 1103440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1103449) by changing a digit.

It is a nontrivial repunit in base 103.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 510 + ... + 1570.

21103440 is an apocalyptic number.

1103440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1103440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1382724).

1103440 is an abundant number, since it is smaller than the sum of its proper divisors (1662008).

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

1103440 is a wasteful number, since it uses less digits than its factorization.

1103440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1087 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 1103440 is about 1050.4475236774. The cubic root of 1103440 is about 103.3355069493.

Adding to 1103440 its reverse (443011), we get a palindrome (1546451).

The spelling of 1103440 in words is "one million, one hundred three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 1061 2122 4244 5305 8488 10610 13793 16976 21220 27586 42440 55172 68965 84880 110344 137930 220688 275860 551720 1103440