Search a number
-
+
1090851840 = 21033513607
BaseRepresentation
bin100000100000101…
…0001010000000000
32211000122000102000
41001001101100000
54213224224330
6300124424000
736014042031
oct10101212000
92730560360
101090851840
1150a837151
122653a8000
13144cc9a80
14a4c3aa88
1565b7a560
hex41051400

1090851840 has 352 divisors, whose sum is σ = 4181775360. Its totient is φ = 268075008.

The previous prime is 1090851809. The next prime is 1090851847. The reversal of 1090851840 is 481580901.

1090851840 is a `hidden beast` number, since 10 + 90 + 8 + 518 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1090851795 and 1090851804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1090851847) 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, 1796817 + ... + 1797423.

Almost surely, 21090851840 is an apocalyptic number.

1090851840 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 1090851840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2090887680).

1090851840 is an abundant number, since it is smaller than the sum of its proper divisors (3090923520).

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

1090851840 is a wasteful number, since it uses less digits than its factorization.

1090851840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 1090851840 is about 33028.0462637438. The cubic root of 1090851840 is about 1029.4104899493.

The spelling of 1090851840 in words is "one billion, ninety million, eight hundred fifty-one thousand, eight hundred forty".