Search a number
-
+
1036027681 = 13433076037
BaseRepresentation
bin111101110000001…
…000011100100001
32200012110122210121
4331300020130201
54110210341211
6250445400241
734450042603
oct7560103441
92605418717
101036027681
114918a0a27
1224ab69081
13136842940
149b849173
1560e4b271
hex3dc08721

1036027681 has 16 divisors (see below), whose sum is σ = 1145577664. Its totient is φ = 930896064.

The previous prime is 1036027679. The next prime is 1036027693. The reversal of 1036027681 is 1867206301.

It is a cyclic number.

It is not a de Polignac number, because 1036027681 - 21 = 1036027679 is a prime.

It is a super-3 number, since 3×10360276813 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1036027661) 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 15 ways as a sum of consecutive naturals, for example, 168595 + ... + 174631.

It is an arithmetic number, because the mean of its divisors is an integer number (71598604).

Almost surely, 21036027681 is an apocalyptic number.

It is an amenable number.

1036027681 is a deficient number, since it is larger than the sum of its proper divisors (109549983).

1036027681 is a wasteful number, since it uses less digits than its factorization.

1036027681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6400.

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 1036027681 is about 32187.3838794022. The cubic root of 1036027681 is about 1011.8678245645.

The spelling of 1036027681 in words is "one billion, thirty-six million, twenty-seven thousand, six hundred eighty-one".

Divisors: 1 13 43 307 559 3991 6037 13201 78481 171613 259591 1853359 3374683 24093667 79694437 1036027681