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1125052560 = 243258997181
BaseRepresentation
bin100001100001110…
…1111000010010000
32220101222120222100
41003003233002100
54301003140220
6303345440400
736610534422
oct10303570220
92811876870
101125052560
11528076705
12274940100
1314c112a98
14a95c0812
1568b83d90
hex430ef090

1125052560 has 240 divisors, whose sum is σ = 3881470320. Its totient is φ = 291962880.

The previous prime is 1125052549. The next prime is 1125052561. The reversal of 1125052560 is 652505211.

1125052560 is a `hidden beast` number, since 1 + 1 + 2 + 50 + 52 + 560 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 361304064 + 763748496 = 19008^2 + 27636^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1125052561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6215670 + ... + 6215850.

It is an arithmetic number, because the mean of its divisors is an integer number (16172793).

Almost surely, 21125052560 is an apocalyptic number.

1125052560 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 1125052560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1940735160).

1125052560 is an abundant number, since it is smaller than the sum of its proper divisors (2756417760).

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

1125052560 is a wasteful number, since it uses less digits than its factorization.

1125052560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 1125052560 is about 33541.8031715649. The cubic root of 1125052560 is about 1040.0581081931.

Adding to 1125052560 its reverse (652505211), we get a palindrome (1777557771).

The spelling of 1125052560 in words is "one billion, one hundred twenty-five million, fifty-two thousand, five hundred sixty".