Search a number
-
+
1090990080 = 2123351973
BaseRepresentation
bin100000100000111…
…0011000000000000
32211000220001001000
41001001303000000
54213243140310
6300131412000
736015156045
oct10101630000
92730801030
101090990080
1150a920aa4
12265454000
1314504797b
14a4c751cc
1565ba64c0
hex41073000

1090990080 has 208 divisors, whose sum is σ = 3880568160. Its totient is φ = 290783232.

The previous prime is 1090990067. The next prime is 1090990129. The reversal of 1090990080 is 800990901.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 551974 + ... + 553946.

Almost surely, 21090990080 is an apocalyptic number.

1090990080 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 1090990080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1940284080).

1090990080 is an abundant number, since it is smaller than the sum of its proper divisors (2789578080).

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

1090990080 is an equidigital number, since it uses as much as digits as its factorization.

1090990080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2011 (or 1983 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The square root of 1090990080 is about 33030.1389642853. The cubic root of 1090990080 is about 1029.4539726937.

The spelling of 1090990080 in words is "one billion, ninety million, nine hundred ninety thousand, eighty".