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9690640 = 245294177
BaseRepresentation
bin100100111101…
…111000010000
3200020100001121
4210331320100
54440100030
6543412024
7145240411
oct44757020
920210047
109690640
1155197a3
1232b4014
132013b0b
141403808
15cb647a
hex93de10

9690640 has 40 divisors (see below), whose sum is σ = 23313240. Its totient is φ = 3741696.

The previous prime is 9690623. The next prime is 9690641. The reversal of 9690640 is 460969.

It can be written as a sum of positive squares in 4 ways, for example, as 2972176 + 6718464 = 1724^2 + 2592^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 9690596 and 9690605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9690641) 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 7 ways as a sum of consecutive naturals, for example, 232 + ... + 4408.

It is an arithmetic number, because the mean of its divisors is an integer number (582831).

Almost surely, 29690640 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 9690640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11656620).

9690640 is an abundant number, since it is smaller than the sum of its proper divisors (13622600).

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

9690640 is a wasteful number, since it uses less digits than its factorization.

9690640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4219 (or 4213 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 9690640 is about 3112.9792803679. The cubic root of 9690640 is about 213.1985042141.

The spelling of 9690640 in words is "nine million, six hundred ninety thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 4177 8354 16708 20885 33416 41770 66832 83540 121133 167080 242266 334160 484532 605665 969064 1211330 1938128 2422660 4845320 9690640