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1073984850 = 232523536761
BaseRepresentation
bin100000000000011…
…1011010101010010
32202211220002020200
41000000323111102
54144420003400
6254323120030
735420502111
oct10000732522
92684802220
101073984850
11501266794
1225b813016
131416726c3
14a28c9c78
1564447b00
hex4003b552

1073984850 has 72 divisors (see below), whose sum is σ = 2894041332. Its totient is φ = 285542400.

The previous prime is 1073984819. The next prime is 1073984851. The reversal of 1073984850 is 584893701.

1073984850 is a `hidden beast` number, since 10 + 73 + 98 + 485 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 505305441 + 568679409 = 22479^2 + 23847^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 1073984796 and 1073984805.

It is not an unprimeable number, because it can be changed into a prime (1073984851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 155470 + ... + 162230.

Almost surely, 21073984850 is an apocalyptic number.

1073984850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1073984850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1447020666).

1073984850 is an abundant number, since it is smaller than the sum of its proper divisors (1820056482).

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

1073984850 is a wasteful number, since it uses less digits than its factorization.

1073984850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7132 (or 7124 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 1073984850 is about 32771.7080726654. The cubic root of 1073984850 is about 1024.0772500570.

The spelling of 1073984850 in words is "one billion, seventy-three million, nine hundred eighty-four thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 353 450 706 1059 1765 2118 3177 3530 5295 6354 6761 8825 10590 13522 15885 17650 20283 26475 31770 33805 40566 52950 60849 67610 79425 101415 121698 158850 169025 202830 304245 338050 507075 608490 1014150 1521225 2386633 3042450 4773266 7159899 11933165 14319798 21479697 23866330 35799495 42959394 59665825 71598990 107398485 119331650 178997475 214796970 357994950 536992425 1073984850