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1130250240 = 214335773
BaseRepresentation
bin100001101011110…
…0100000000000000
32220202202122212000
41003113210000000
54303321001430
6304053104000
740002653130
oct10327440000
92822678760
101130250240
1152aaa6809
12276628000
13150212832
14aa174ac0
156935de60
hex435e4000

1130250240 has 480 divisors, whose sum is σ = 4655535360. Its totient is φ = 254803968.

The previous prime is 1130250221. The next prime is 1130250293. The reversal of 1130250240 is 420520311.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15482844 + ... + 15482916.

It is an arithmetic number, because the mean of its divisors is an integer number (9699032).

Almost surely, 21130250240 is an apocalyptic number.

1130250240 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 1130250240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2327767680).

1130250240 is an abundant number, since it is smaller than the sum of its proper divisors (3525285120).

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

1130250240 is an frugal number, since it uses more digits than its factorization.

1130250240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1130250240 is about 33619.1945174182. The cubic root of 1130250240 is about 1041.6573180885.

Adding to 1130250240 its reverse (420520311), we get a palindrome (1550770551).

The spelling of 1130250240 in words is "one billion, one hundred thirty million, two hundred fifty thousand, two hundred forty".