Search a number
-
+
126981041 = 11176191097
BaseRepresentation
bin1111001000110…
…01001110110001
322211221022020112
413210121032301
5230001343131
620333351105
73101215055
oct744311661
9284838215
10126981041
116574a810
1236638495
13203cc615
1412c15c65
15b23402b
hex79193b1

126981041 has 16 divisors (see below), whose sum is σ = 147044160. Its totient is φ = 108372480.

The previous prime is 126981037. The next prime is 126981079. The reversal of 126981041 is 140189621.

It is a cyclic number.

It is not a de Polignac number, because 126981041 - 22 = 126981037 is a prime.

It is a super-2 number, since 2×1269810412 = 32248369546887362, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 126980989 and 126981007.

It is not an unprimeable number, because it can be changed into a prime (126981031) 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, 115205 + ... + 116301.

It is an arithmetic number, because the mean of its divisors is an integer number (9190260).

Almost surely, 2126981041 is an apocalyptic number.

126981041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

126981041 is a deficient number, since it is larger than the sum of its proper divisors (20063119).

126981041 is a wasteful number, since it uses less digits than its factorization.

126981041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1744.

The product of its (nonzero) digits is 3456, while the sum is 32.

The square root of 126981041 is about 11268.5864685860. The cubic root of 126981041 is about 502.6275557142.

The spelling of 126981041 in words is "one hundred twenty-six million, nine hundred eighty-one thousand, forty-one".

Divisors: 1 11 17 187 619 1097 6809 10523 12067 18649 115753 205139 679043 7469473 11543731 126981041