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1074126041 = 2925572293
BaseRepresentation
bin100000000000101…
…1101110011011001
32202212011020220222
41000001131303121
54144434013131
6254330125425
735421630542
oct10001356331
92685136828
101074126041
1150135287a
1225b880875
131416c1a51
14a29254c9
156447487b
hex4005dcd9

1074126041 has 12 divisors (see below), whose sum is σ = 1114925292. Its totient is φ = 1034773824.

The previous prime is 1074126017. The next prime is 1074126047. The reversal of 1074126041 is 1406214701.

It can be written as a sum of positive squares in 6 ways, for example, as 110334016 + 963792025 = 10504^2 + 31045^2 .

It is not a de Polignac number, because 1074126041 - 226 = 1007017177 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1074126041.

It is not an unprimeable number, because it can be changed into a prime (1074126047) 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 11 ways as a sum of consecutive naturals, for example, 467291 + ... + 469583.

It is an arithmetic number, because the mean of its divisors is an integer number (92910441).

Almost surely, 21074126041 is an apocalyptic number.

It is an amenable number.

1074126041 is a deficient number, since it is larger than the sum of its proper divisors (40799251).

1074126041 is an equidigital number, since it uses as much as digits as its factorization.

1074126041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2908 (or 2879 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 1074126041 is about 32773.8621617898. The cubic root of 1074126041 is about 1024.1221247295.

The spelling of 1074126041 in words is "one billion, seventy-four million, one hundred twenty-six thousand, forty-one".

Divisors: 1 29 557 841 2293 16153 66497 468437 1277201 1928413 37038829 1074126041