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1125221760 = 27335135009
BaseRepresentation
bin100001100010001…
…1000010110000000
32220102022012002000
41003010120112000
54301024044020
6303353224000
736612140625
oct10304302600
92812265060
101125221760
11528181843
12274a02000
1314c171ac0
14a962634c
1568bb9090
hex43118580

1125221760 has 256 divisors, whose sum is σ = 4292568000. Its totient is φ = 276922368.

The previous prime is 1125221729. The next prime is 1125221761. The reversal of 1125221760 is 671225211.

It is a super-2 number, since 2×11252217602 = 2532248018354995200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1125221761) 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, 222136 + ... + 227144.

Almost surely, 21125221760 is an apocalyptic number.

1125221760 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 1125221760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2146284000).

1125221760 is an abundant number, since it is smaller than the sum of its proper divisors (3167346240).

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

1125221760 is a wasteful number, since it uses less digits than its factorization.

1125221760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5050 (or 5032 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 1125221760 is about 33544.3253025009. The cubic root of 1125221760 is about 1040.1102447234.

Adding to 1125221760 its reverse (671225211), we get a palindrome (1796446971).

The spelling of 1125221760 in words is "one billion, one hundred twenty-five million, two hundred twenty-one thousand, seven hundred sixty".