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9680200 = 2352291669
BaseRepresentation
bin100100111011…
…010101001000
3200012210201221
4210323111020
54434231300
6543251424
7145165105
oct44732510
920183657
109680200
115511972
1232a9b74
13200c13a
1413ddaac
15cb331a
hex93b548

9680200 has 48 divisors (see below), whose sum is σ = 23296500. Its totient is φ = 3736320.

The previous prime is 9680197. The next prime is 9680201. The reversal of 9680200 is 20869.

It can be written as a sum of positive squares in 6 ways, for example, as 3755844 + 5924356 = 1938^2 + 2434^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (9680201) 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 11 ways as a sum of consecutive naturals, for example, 4966 + ... + 6634.

Almost surely, 29680200 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 9680200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11648250).

9680200 is an abundant number, since it is smaller than the sum of its proper divisors (13616300).

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

9680200 is a wasteful number, since it uses less digits than its factorization.

9680200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1714 (or 1705 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 9680200 is about 3111.3019782721. The cubic root of 9680200 is about 213.1219151149.

The spelling of 9680200 in words is "nine million, six hundred eighty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 232 290 580 725 1160 1450 1669 2900 3338 5800 6676 8345 13352 16690 33380 41725 48401 66760 83450 96802 166900 193604 242005 333800 387208 484010 968020 1210025 1936040 2420050 4840100 9680200