Search a number
-
+
1104423936 = 210372112329
BaseRepresentation
bin100000111010100…
…0010110000000000
32211222011112211020
41001311002300000
54230213031221
6301331345440
736240306600
oct10165026000
92758145736
101104423936
11517467060
12269a52280
13147a6c4b5
14a6970c00
1566e5bac6
hex41d42c00

1104423936 has 528 divisors, whose sum is σ = 4032426240. Its totient is φ = 264929280.

The previous prime is 1104423923. The next prime is 1104423937. The reversal of 1104423936 is 6393244011.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 1104423897 and 1104423906.

It is not an unprimeable number, because it can be changed into a prime (1104423937) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38083570 + ... + 38083598.

Almost surely, 21104423936 is an apocalyptic number.

1104423936 is a gapful number since it is divisible by the number (16) 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 1104423936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2016213120).

1104423936 is an abundant number, since it is smaller than the sum of its proper divisors (2928002304).

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

1104423936 is a wasteful number, since it uses less digits than its factorization.

1104423936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 1104423936 is about 33232.8743264858. The cubic root of 1104423936 is about 1033.6621253638.

Adding to 1104423936 its reverse (6393244011), we get a palindrome (7497667947).

It can be divided in two parts, 11044 and 23936, that added together give a triangular number (34980 = T264).

The spelling of 1104423936 in words is "one billion, one hundred four million, four hundred twenty-three thousand, nine hundred thirty-six".