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126825741 = 32719105953
BaseRepresentation
bin1111000111100…
…11010100001101
322211122102012200
413203303110031
5224431410431
620330152113
73100000230
oct743632415
9284572180
10126825741
1165654069
1236582639
1320376a23
1412bb5417
15b202ee6
hex78f350d

126825741 has 24 divisors (see below), whose sum is σ = 220384320. Its totient is φ = 68656896.

The previous prime is 126825739. The next prime is 126825793. The reversal of 126825741 is 147528621.

126825741 is a `hidden beast` number, since 1 + 2 + 6 + 82 + 574 + 1 = 666.

It is not a de Polignac number, because 126825741 - 21 = 126825739 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 126825696 and 126825705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126825541) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51780 + ... + 54173.

It is an arithmetic number, because the mean of its divisors is an integer number (9182680).

Almost surely, 2126825741 is an apocalyptic number.

It is an amenable number.

126825741 is a deficient number, since it is larger than the sum of its proper divisors (93558579).

126825741 is a wasteful number, since it uses less digits than its factorization.

126825741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105985 (or 105982 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 126825741 is about 11261.6935227345. The cubic root of 126825741 is about 502.4225647367.

The spelling of 126825741 in words is "one hundred twenty-six million, eight hundred twenty-five thousand, seven hundred forty-one".

Divisors: 1 3 7 9 19 21 57 63 133 171 399 1197 105953 317859 741671 953577 2013107 2225013 6039321 6675039 14091749 18117963 42275247 126825741