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126264053 = 1138211361
BaseRepresentation
bin1111000011010…
…10001011110101
322210120212201102
413201222023311
5224310422203
620310135445
73062140526
oct741521365
9283525642
10126264053
1165300063
1236351585
132020b176
1412aaa84d
15b141888
hex786a2f5

126264053 has 8 divisors (see below), whose sum is σ = 127630296. Its totient is φ = 124902400.

The previous prime is 126264037. The next prime is 126264077. The reversal of 126264053 is 350462621.

It can be written as a sum of positive squares in 4 ways, for example, as 6646084 + 119617969 = 2578^2 + 10937^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 126264053 - 24 = 126264037 is a prime.

It is a super-2 number, since 2×1262640532 = 31885222159973618, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126264013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92093 + ... + 93453.

It is an arithmetic number, because the mean of its divisors is an integer number (15953787).

Almost surely, 2126264053 is an apocalyptic number.

It is an amenable number.

126264053 is a deficient number, since it is larger than the sum of its proper divisors (1366243).

126264053 is a wasteful number, since it uses less digits than its factorization.

126264053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2295.

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 126264053 is about 11236.7278600133. The cubic root of 126264053 is about 501.6797545300.

The spelling of 126264053 in words is "one hundred twenty-six million, two hundred sixty-four thousand, fifty-three".

Divisors: 1 113 821 1361 92773 153793 1117381 126264053