Search a number
-
+
1104041440 = 25531416189
BaseRepresentation
bin100000111001110…
…0101010111100000
32211221110010010201
41001303211113200
54230113311230
6301315234544
736234124465
oct10163452740
92757403121
101104041440
11517225747
122698a8a54
13147967378
14a68b166c
1566dd35ca
hex41ce55e0

1104041440 has 192 divisors, whose sum is σ = 2834818560. Its totient is φ = 405504000.

The previous prime is 1104041437. The next prime is 1104041443. The reversal of 1104041440 is 441404011.

It is an interprime number because it is at equal distance from previous prime (1104041437) and next prime (1104041443).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1104041443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12404916 + ... + 12405004.

It is an arithmetic number, because the mean of its divisors is an integer number (14764680).

Almost surely, 21104041440 is an apocalyptic number.

1104041440 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 1104041440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1417409280).

1104041440 is an abundant number, since it is smaller than the sum of its proper divisors (1730777120).

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

1104041440 is a wasteful number, since it uses less digits than its factorization.

1104041440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 1104041440 is about 33227.1190445395. The cubic root of 1104041440 is about 1033.5427819163.

Adding to 1104041440 its reverse (441404011), we get a palindrome (1545445451).

The spelling of 1104041440 in words is "one billion, one hundred four million, forty-one thousand, four hundred forty".