Search a number
-
+
1104130656 = 25334171439
BaseRepresentation
bin100000111001111…
…1011001001100000
32211221121122112000
41001303323021200
54230124140111
6301321204000
736234645546
oct10163731140
92757548460
101104130656
11517286782
12269930600
13147998b65
14a68d5d96
1566deec56
hex41cfb260

1104130656 has 192 divisors, whose sum is σ = 3353011200. Its totient is φ = 353203200.

The previous prime is 1104130649. The next prime is 1104130667. The reversal of 1104130656 is 6560314011.

1104130656 is a `hidden beast` number, since 1 + 1 + 0 + 4 + 1 + 3 + 0 + 656 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2514885 + ... + 2515323.

It is an arithmetic number, because the mean of its divisors is an integer number (17463600).

Almost surely, 21104130656 is an apocalyptic number.

1104130656 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 1104130656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1676505600).

1104130656 is an abundant number, since it is smaller than the sum of its proper divisors (2248880544).

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

1104130656 is a wasteful number, since it uses less digits than its factorization.

1104130656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1104130656 is about 33228.4615352562. The cubic root of 1104130656 is about 1033.5706208681.

Adding to 1104130656 its reverse (6560314011), we get a palindrome (7664444667).

The spelling of 1104130656 in words is "one billion, one hundred four million, one hundred thirty thousand, six hundred fifty-six".