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1020658041 = 32137321637
BaseRepresentation
bin111100110101100…
…000000101111001
32122010112210121200
4330311200011321
54042242024131
6245140124413
734202310264
oct7465400571
92563483550
101020658041
11484153547
12245996709
131335c0c90
14997a7cdb
155e9122e6
hex3cd60179

1020658041 has 36 divisors (see below), whose sum is σ = 1610720748. Its totient is φ = 619114752.

The previous prime is 1020658031. The next prime is 1020658081. The reversal of 1020658041 is 1408560201.

1020658041 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 658 + 0 + 4 + 1 = 666.

1020658041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 179426025 + 841232016 = 13395^2 + 29004^2 .

It is not a de Polignac number, because 1020658041 - 210 = 1020657017 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1020657996 and 1020658014.

It is not an unprimeable number, because it can be changed into a prime (1020658031) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 622675 + ... + 624311.

It is an arithmetic number, because the mean of its divisors is an integer number (44742243).

Almost surely, 21020658041 is an apocalyptic number.

It is an amenable number.

1020658041 is a deficient number, since it is larger than the sum of its proper divisors (590062707).

1020658041 is a wasteful number, since it uses less digits than its factorization.

1020658041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1802 (or 1726 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1020658041 is about 31947.7392157880. The cubic root of 1020658041 is about 1006.8391332919.

The spelling of 1020658041 in words is "one billion, twenty million, six hundred fifty-eight thousand, forty-one".

Divisors: 1 3 9 13 39 73 117 219 657 949 1637 2847 4911 5329 8541 14733 15987 21281 47961 63843 69277 119501 191529 207831 358503 623493 1075509 1553513 4660539 8723573 13981617 26170719 78512157 113406449 340219347 1020658041