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126605141 = 1371731879
BaseRepresentation
bin1111000101111…
…01011101010101
322211020012121022
413202331131111
5224402331031
620321330525
73065061125
oct742753525
9284205538
10126605141
1165513353
1236496a45
13202ca4b0
1412b58c85
15b1ac97b
hex78bd755

126605141 has 16 divisors (see below), whose sum is σ = 140232960. Its totient is φ = 113581440.

The previous prime is 126605123. The next prime is 126605159. The reversal of 126605141 is 141506621.

It is an interprime number because it is at equal distance from previous prime (126605123) and next prime (126605159).

It is a cyclic number.

It is not a de Polignac number, because 126605141 - 26 = 126605077 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 126605141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126605111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66440 + ... + 68318.

It is an arithmetic number, because the mean of its divisors is an integer number (8764560).

Almost surely, 2126605141 is an apocalyptic number.

It is an amenable number.

126605141 is a deficient number, since it is larger than the sum of its proper divisors (13627819).

126605141 is a wasteful number, since it uses less digits than its factorization.

126605141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2036.

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 126605141 is about 11251.8949959551. The cubic root of 126605141 is about 502.1310919892.

The spelling of 126605141 in words is "one hundred twenty-six million, six hundred five thousand, one hundred forty-one".

Divisors: 1 13 71 73 923 949 1879 5183 24427 67379 133409 137167 1734317 1783171 9738857 126605141