Search a number
-
+
9680000 = 2754112
BaseRepresentation
bin100100111011…
…010010000000
3200012210110112
4210323102000
54434230000
6543250452
7145164401
oct44732200
920183415
109680000
115511800
1232a9a28
13200c015
1413dd9a8
15cb3235
hex93b480

9680000 has 120 divisors (see below), whose sum is σ = 26487615. Its totient is φ = 3520000.

The previous prime is 9679981. The next prime is 9680003. The reversal of 9680000 is 869.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 2238016 + 7441984 = 1496^2 + 2728^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=2200.

It is not an unprimeable number, because it can be changed into a prime (9680003) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 879995 + ... + 880005.

Almost surely, 29680000 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 9680000

9680000 is an abundant number, since it is smaller than the sum of its proper divisors (16807615).

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

9680000 is an equidigital number, since it uses as much as digits as its factorization.

9680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 9680000 is about 3111.2698372208. The cubic root of 9680000 is about 213.1204473533.

Adding to 9680000 its reverse (869), we get a palindrome (9680869).

The spelling of 9680000 in words is "nine million, six hundred eighty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 121 125 128 160 176 200 220 242 250 275 320 352 400 440 484 500 550 605 625 640 704 800 880 968 1000 1100 1210 1250 1375 1408 1600 1760 1936 2000 2200 2420 2500 2750 3025 3200 3520 3872 4000 4400 4840 5000 5500 6050 6875 7040 7744 8000 8800 9680 10000 11000 12100 13750 15125 15488 16000 17600 19360 20000 22000 24200 27500 30250 35200 38720 40000 44000 48400 55000 60500 75625 77440 80000 88000 96800 110000 121000 151250 176000 193600 220000 242000 302500 387200 440000 484000 605000 880000 968000 1210000 1936000 2420000 4840000 9680000