Search a number
-
+
1105021080 = 23325171031753
BaseRepresentation
bin100000111011101…
…0100100010011000
32212000021212221200
41001313110202120
54230341133310
6301352234200
736245344542
oct10167244230
92760255850
101105021080
11517834769
1226a09b960
13147c1b237
14a6a88692
15670289c0
hex41dd4898

1105021080 has 192 divisors, whose sum is σ = 3841680960. Its totient is φ = 274489344.

The previous prime is 1105021061. The next prime is 1105021087. The reversal of 1105021080 is 801205011.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1105021087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 629484 + ... + 631236.

It is an arithmetic number, because the mean of its divisors is an integer number (20008755).

Almost surely, 21105021080 is an apocalyptic number.

1105021080 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 1105021080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1920840480).

1105021080 is an abundant number, since it is smaller than the sum of its proper divisors (2736659880).

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

1105021080 is a wasteful number, since it uses less digits than its factorization.

1105021080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1890 (or 1883 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 1105021080 is about 33241.8573488306. The cubic root of 1105021080 is about 1033.8483865463.

Adding to 1105021080 its reverse (801205011), we get a palindrome (1906226091).

The spelling of 1105021080 in words is "one billion, one hundred five million, twenty-one thousand, eighty".