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126420517 = 1737319937
BaseRepresentation
bin1111000100100…
…00011000100101
322210212211100101
413202100120211
5224330424032
620313344101
73063361636
oct742203045
9283784311
10126420517
11653a7673
1236408031
1320264452
1412b0b88d
15b172de7
hex7890625

126420517 has 8 divisors (see below), whose sum is σ = 134222616. Its totient is φ = 118659072.

The previous prime is 126420493. The next prime is 126420557. The reversal of 126420517 is 715024621.

It can be written as a sum of positive squares in 4 ways, for example, as 17969121 + 108451396 = 4239^2 + 10414^2 .

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 126420517 - 27 = 126420389 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126420557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3628 + ... + 16309.

It is an arithmetic number, because the mean of its divisors is an integer number (16777827).

Almost surely, 2126420517 is an apocalyptic number.

126420517 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

126420517 is a deficient number, since it is larger than the sum of its proper divisors (7802099).

126420517 is a wasteful number, since it uses less digits than its factorization.

126420517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20327.

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 126420517 is about 11243.6878736472. The cubic root of 126420517 is about 501.8868929791.

The spelling of 126420517 in words is "one hundred twenty-six million, four hundred twenty thousand, five hundred seventeen".

Divisors: 1 17 373 6341 19937 338929 7436501 126420517