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9704080 = 2451011201
BaseRepresentation
bin100101000001…
…001010010000
3200021000111101
4211001022100
54441012310
6543554144
7145324531
oct45011220
920230441
109704080
115528901
1232bb954
132019c79
141408688
15cba43a
hex941290

9704080 has 40 divisors (see below), whose sum is σ = 22804344. Its totient is φ = 3840000.

The previous prime is 9704069. The next prime is 9704113. The reversal of 9704080 is 804079.

It can be written as a sum of positive squares in 4 ways, for example, as 559504 + 9144576 = 748^2 + 3024^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 7480 + ... + 8680.

Almost surely, 29704080 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 9704080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11402172).

9704080 is an abundant number, since it is smaller than the sum of its proper divisors (13100264).

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

9704080 is a wasteful number, since it uses less digits than its factorization.

9704080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 9704080 is about 3115.1372361423. The cubic root of 9704080 is about 213.2970207291.

It can be divided in two parts, 970 and 4080, that added together give a triangular number (5050 = T100).

The spelling of 9704080 in words is "nine million, seven hundred four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 404 505 808 1010 1201 1616 2020 2402 4040 4804 6005 8080 9608 12010 19216 24020 48040 96080 121301 242602 485204 606505 970408 1213010 1940816 2426020 4852040 9704080