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8730640 = 245109133
BaseRepresentation
bin100001010011…
…100000010000
3121102120012001
4201103200100
54213340030
6511043344
7134131522
oct41234020
917376161
108730640
114a23506
122b10554
131a68b79
141233a12
15b76cca
hex853810

8730640 has 20 divisors (see below), whose sum is σ = 20298924. Its totient is φ = 3492224.

The previous prime is 8730629. The next prime is 8730649. The reversal of 8730640 is 460378.

It can be written as a sum of positive squares in 2 ways, for example, as 3873024 + 4857616 = 1968^2 + 2204^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 8730599 and 8730608.

It is not an unprimeable number, because it can be changed into a prime (8730649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 54487 + ... + 54646.

Almost surely, 28730640 is an apocalyptic number.

8730640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8730640 is an abundant number, since it is smaller than the sum of its proper divisors (11568284).

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

8730640 is a wasteful number, since it uses less digits than its factorization.

8730640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109146 (or 109140 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 8730640 is about 2954.7656421449. The cubic root of 8730640 is about 205.9121754638.

The spelling of 8730640 in words is "eight million, seven hundred thirty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 109133 218266 436532 545665 873064 1091330 1746128 2182660 4365320 8730640