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1130450240 = 26515722501
BaseRepresentation
bin100001101100001…
…0100110101000000
32220210010211012102
41003120110311000
54303343401430
6304101245532
740004445203
oct10330246500
92823124172
101130450240
11530122aa7
122767038a8
1315028288a
14aa1c793a
156939d345
hex43614d40

1130450240 has 56 divisors (see below), whose sum is σ = 2709150792. Its totient is φ = 449280000.

The previous prime is 1130450183. The next prime is 1130450249. The reversal of 1130450240 is 420540311.

1130450240 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 361608256 + 768841984 = 19016^2 + 27728^2 .

It is a super-3 number, since 3×11304502403 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130450249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38990 + ... + 61490.

Almost surely, 21130450240 is an apocalyptic number.

1130450240 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 1130450240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354575396).

1130450240 is an abundant number, since it is smaller than the sum of its proper divisors (1578700552).

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

1130450240 is a wasteful number, since it uses less digits than its factorization.

1130450240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22675 (or 22665 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 1130450240 is about 33622.1688770966. The cubic root of 1130450240 is about 1041.7187555677.

Adding to 1130450240 its reverse (420540311), we get a palindrome (1550990551).

The spelling of 1130450240 in words is "one billion, one hundred thirty million, four hundred fifty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 157 160 314 320 628 785 1256 1570 2512 3140 5024 6280 10048 12560 22501 25120 45002 50240 90004 112505 180008 225010 360016 450020 720032 900040 1440064 1800080 3532657 3600160 7065314 7200320 14130628 17663285 28261256 35326570 56522512 70653140 113045024 141306280 226090048 282612560 565225120 1130450240