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1127132560 = 24529485833
BaseRepresentation
bin100001100101110…
…1010110110010000
32220112220021012101
41003023222312100
54302021220220
6303502210144
736634316521
oct10313526620
92815807171
101127132560
11529267414
12275583954
1314c690758
14a99a2848
1568e4530a
hex432ead90

1127132560 has 40 divisors (see below), whose sum is σ = 2710953720. Its totient is φ = 435305472.

The previous prime is 1127132533. The next prime is 1127132593. The reversal of 1127132560 is 652317211.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3810304 + 1123322256 = 1952^2 + 33516^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 240597 + ... + 245236.

It is an arithmetic number, because the mean of its divisors is an integer number (67773843).

Almost surely, 21127132560 is an apocalyptic number.

1127132560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1127132560 is an abundant number, since it is smaller than the sum of its proper divisors (1583821160).

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

1127132560 is a wasteful number, since it uses less digits than its factorization.

1127132560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485875 (or 485869 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 1127132560 is about 33572.7949387596. The cubic root of 1127132560 is about 1040.6986676138.

Adding to 1127132560 its reverse (652317211), we get a palindrome (1779449771).

The spelling of 1127132560 in words is "one billion, one hundred twenty-seven million, one hundred thirty-two thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 485833 971666 1943332 2429165 3886664 4858330 7773328 9716660 14089157 19433320 28178314 38866640 56356628 70445785 112713256 140891570 225426512 281783140 563566280 1127132560