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126984127 = 2329613121
BaseRepresentation
bin1111001000110…
…01111110111111
322211221110110211
413210121332333
5230001443002
620333413251
73101230054
oct744317677
9284843424
10126984127
1165752066
123663a227
1320400b4a
1412c1702b
15b234dd7
hex7919fbf

126984127 has 16 divisors (see below), whose sum is σ = 139366080. Its totient is φ = 115315200.

The previous prime is 126984097. The next prime is 126984133. The reversal of 126984127 is 721489621.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-126984127 is a prime.

It is a super-2 number, since 2×1269841272 = 32249937019904258, which contains 22 as substring.

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 126984127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126984167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39127 + ... + 42247.

It is an arithmetic number, because the mean of its divisors is an integer number (8710380).

Almost surely, 2126984127 is an apocalyptic number.

126984127 is a deficient number, since it is larger than the sum of its proper divisors (12381953).

126984127 is a wasteful number, since it uses less digits than its factorization.

126984127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3234.

The product of its digits is 48384, while the sum is 40.

The square root of 126984127 is about 11268.7233970845. The cubic root of 126984127 is about 502.6316274404.

The spelling of 126984127 in words is "one hundred twenty-six million, nine hundred eighty-four thousand, one hundred twenty-seven".

Divisors: 1 23 29 61 667 1403 1769 3121 40687 71783 90509 190381 2081707 4378763 5521049 126984127