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127106973 = 3276730113
BaseRepresentation
bin1111001001101…
…11111110011101
322212011200222200
413210313332131
5230014410343
620340202113
73102251160
oct744677635
9285150880
10127106973
1165826394
1236699339
1320444a36
1412c49ad7
15b25b4d3
hex7937f9d

127106973 has 24 divisors (see below), whose sum is σ = 212966208. Its totient is φ = 71546112.

The previous prime is 127106963. The next prime is 127106989. The reversal of 127106973 is 379601721.

It is a happy number.

It is not a de Polignac number, because 127106973 - 29 = 127106461 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127106923) 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 23 ways as a sum of consecutive naturals, for example, 10836 + ... + 19277.

It is an arithmetic number, because the mean of its divisors is an integer number (8873592).

Almost surely, 2127106973 is an apocalyptic number.

It is an amenable number.

127106973 is a deficient number, since it is larger than the sum of its proper divisors (85859235).

127106973 is a wasteful number, since it uses less digits than its factorization.

127106973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30193 (or 30190 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 127106973 is about 11274.1728299685. The cubic root of 127106973 is about 502.7936591990.

It can be divided in two parts, 12710 and 6973, that added together give a 9-th power (19683 = 39).

The spelling of 127106973 in words is "one hundred twenty-seven million, one hundred six thousand, nine hundred seventy-three".

Divisors: 1 3 7 9 21 63 67 201 469 603 1407 4221 30113 90339 210791 271017 632373 1897119 2017571 6052713 14122997 18158139 42368991 127106973