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126495117 = 3272373769
BaseRepresentation
bin1111000101000…
…10100110001101
322211000121200100
413202202212031
5224340320432
620315121313
73064122300
oct742424615
9284017610
10126495117
1165448721
1236443239
132028c3a8
1412b2ab37
15b18a07c
hex78a298d

126495117 has 36 divisors (see below), whose sum is σ = 213393180. Its totient is φ = 71995392.

The previous prime is 126495073. The next prime is 126495137. The reversal of 126495117 is 711594621.

126495117 is a `hidden beast` number, since 1 + 2 + 649 + 5 + 1 + 1 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 59074596 + 67420521 = 7686^2 + 8211^2 .

It is not a de Polignac number, because 126495117 - 214 = 126478733 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126495137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 164109 + ... + 164877.

Almost surely, 2126495117 is an apocalyptic number.

It is an amenable number.

126495117 is a deficient number, since it is larger than the sum of its proper divisors (86898063).

126495117 is a wasteful number, since it uses less digits than its factorization.

126495117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 1152 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 126495117 is about 11247.0048012793. The cubic root of 126495117 is about 501.9855937306.

It can be divided in two parts, 12649 and 5117, that added together give a triangular number (17766 = T188).

The spelling of 126495117 in words is "one hundred twenty-six million, four hundred ninety-five thousand, one hundred seventeen".

Divisors: 1 3 7 9 21 49 63 147 373 441 769 1119 2307 2611 3357 5383 6921 7833 16149 18277 23499 37681 48447 54831 113043 164493 286837 339129 860511 2007859 2581533 6023577 14055013 18070731 42165039 126495117