Search a number
-
+
1090220040 = 2333571311093
BaseRepresentation
bin100000011111011…
…0111000000001000
32210222102220202000
41000332313000020
54213044020130
6300103111000
736005501040
oct10076670010
92728386660
101090220040
1150a4454a8
12265142460
13144b38320
14a4b14720
1565aa3260
hex40fb7008

1090220040 has 256 divisors, whose sum is σ = 4473100800. Its totient is φ = 230003712.

The previous prime is 1090220011. The next prime is 1090220069. The reversal of 1090220040 is 400220901.

It is an interprime number because it is at equal distance from previous prime (1090220011) and next prime (1090220069).

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

It is a junction number, because it is equal to n+sod(n) for n = 1090219995 and 1090220022.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 92734 + ... + 103826.

It is an arithmetic number, because the mean of its divisors is an integer number (17473050).

Almost surely, 21090220040 is an apocalyptic number.

1090220040 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 1090220040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2236550400).

1090220040 is an abundant number, since it is smaller than the sum of its proper divisors (3382880760).

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

1090220040 is a wasteful number, since it uses less digits than its factorization.

1090220040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11133 (or 11123 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1090220040 is about 33018.4802799887. The cubic root of 1090220040 is about 1029.2117134437.

Adding to 1090220040 its reverse (400220901), we get a palindrome (1490440941).

The spelling of 1090220040 in words is "one billion, ninety million, two hundred twenty thousand, forty".