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126406441 = 71710310313
BaseRepresentation
bin1111000100011…
…00111100101001
322210212010001001
413202030330221
5224330001231
620313155001
73063302620
oct742147451
9283763031
10126406441
1165398037
12363bba61
132025ac15
1412b066b7
15b16db61
hex788cf29

126406441 has 16 divisors (see below), whose sum is σ = 154462464. Its totient is φ = 100975104.

The previous prime is 126406439. The next prime is 126406481. The reversal of 126406441 is 144604621.

It is not a de Polignac number, because 126406441 - 21 = 126406439 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (126406481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7101 + ... + 17413.

It is an arithmetic number, because the mean of its divisors is an integer number (9653904).

Almost surely, 2126406441 is an apocalyptic number.

It is an amenable number.

126406441 is a deficient number, since it is larger than the sum of its proper divisors (28056023).

126406441 is a wasteful number, since it uses less digits than its factorization.

126406441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10440.

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 126406441 is about 11243.0619050150. The cubic root of 126406441 is about 501.8682651427.

The spelling of 126406441 in words is "one hundred twenty-six million, four hundred six thousand, four hundred forty-one".

Divisors: 1 7 17 103 119 721 1751 10313 12257 72191 175321 1062239 1227247 7435673 18058063 126406441