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1020749796 = 2233115914563
BaseRepresentation
bin111100110101110…
…110011111100100
32122010201110111000
4330311312133210
54042302443141
6245142113300
734203141633
oct7465663744
92563643430
101020749796
11484206480
12245a1b830
13133623981
14997cd51a
155e92e5b6
hex3cd767e4

1020749796 has 96 divisors (see below), whose sum is σ = 2936102400. Its totient is φ = 304054560.

The previous prime is 1020749789. The next prime is 1020749797. The reversal of 1020749796 is 6979470201.

It is not an unprimeable number, because it can be changed into a prime (1020749797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62811 + ... + 77373.

It is an arithmetic number, because the mean of its divisors is an integer number (30584400).

Almost surely, 21020749796 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020749796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468051200).

1020749796 is an abundant number, since it is smaller than the sum of its proper divisors (1915352604).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1020749796 is a wasteful number, since it uses less digits than its factorization.

1020749796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14646 (or 14638 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 1020749796 is about 31949.1752006214. The cubic root of 1020749796 is about 1006.8693032909.

The spelling of 1020749796 in words is "one billion, twenty million, seven hundred forty-nine thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 59 66 99 108 118 132 177 198 236 297 354 396 531 594 649 708 1062 1188 1298 1593 1947 2124 2596 3186 3894 5841 6372 7788 11682 14563 17523 23364 29126 35046 43689 58252 70092 87378 131067 160193 174756 262134 320386 393201 480579 524268 640772 786402 859217 961158 1441737 1572804 1718434 1922316 2577651 2883474 3436868 4325211 5155302 5766948 7732953 8650422 9451387 10310604 15465906 17300844 18902774 23198859 28354161 30931812 37805548 46397718 56708322 85062483 92795436 113416644 170124966 255187449 340249932 510374898 1020749796