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126532053 = 3246130497
BaseRepresentation
bin1111000101010…
…11100111010101
322211002111100100
413202223213111
5224343011203
620320004313
73064335054
oct742534725
9284074310
10126532053
116547344a
1236460699
13202a314b
1412b3a39b
15b195ea3
hex78ab9d5

126532053 has 12 divisors (see below), whose sum is σ = 183170988. Its totient is φ = 84168960.

The previous prime is 126532033. The next prime is 126532067. The reversal of 126532053 is 350235621.

126532053 is a `hidden beast` number, since 1 + 2 + 653 + 2 + 0 + 5 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 69105969 + 57426084 = 8313^2 + 7578^2 .

It is not a de Polignac number, because 126532053 - 224 = 109754837 is a prime.

It is a super-3 number, since 3×1265320533 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126532013) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11100 + ... + 19397.

It is an arithmetic number, because the mean of its divisors is an integer number (15264249).

Almost surely, 2126532053 is an apocalyptic number.

It is an amenable number.

126532053 is a deficient number, since it is larger than the sum of its proper divisors (56638935).

126532053 is a wasteful number, since it uses less digits than its factorization.

126532053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30964 (or 30961 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 126532053 is about 11248.6467186058. The cubic root of 126532053 is about 502.0344481474.

Adding to 126532053 its reverse (350235621), we get a palindrome (476767674).

It can be divided in two parts, 12653 and 2053, that added together give a triangular number (14706 = T171).

The spelling of 126532053 in words is "one hundred twenty-six million, five hundred thirty-two thousand, fifty-three".

Divisors: 1 3 9 461 1383 4149 30497 91491 274473 14059117 42177351 126532053