Search a number
-
+
1120343040 = 21032541593
BaseRepresentation
bin100001011000111…
…0001010000000000
32220002010022201200
41002301301100000
54243301434130
6303100501200
736522521145
oct10261612000
92802108650
101120343040
1152544a343
1227324a800
1314b15429b
14a8b163cc
1568553760
hex42c71400

1120343040 has 264 divisors, whose sum is σ = 3983347368. Its totient is φ = 290979840.

The previous prime is 1120343039. The next prime is 1120343053. The reversal of 1120343040 is 403430211.

It can be written as a sum of positive squares in 4 ways, for example, as 10653696 + 1109689344 = 3264^2 + 33312^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1888984 + ... + 1889576.

It is an arithmetic number, because the mean of its divisors is an integer number (15088437).

Almost surely, 21120343040 is an apocalyptic number.

1120343040 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 1120343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1991673684).

1120343040 is an abundant number, since it is smaller than the sum of its proper divisors (2863004328).

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

1120343040 is a wasteful number, since it uses less digits than its factorization.

1120343040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1120343040 is about 33471.5258092606. The cubic root of 1120343040 is about 1038.6048353317.

Adding to 1120343040 its reverse (403430211), we get a palindrome (1523773251).

The spelling of 1120343040 in words is "one billion, one hundred twenty million, three hundred forty-three thousand, forty".