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9690240 = 273572103
BaseRepresentation
bin100100111101…
…110010000000
3200020022111210
4210331302000
54440041430
6543410120
7145236300
oct44756200
920208453
109690240
11551946a
1232b3940
132013891
141403600
15cb62b0
hex93dc80

9690240 has 192 divisors, whose sum is σ = 36279360. Its totient is φ = 2193408.

The previous prime is 9690217. The next prime is 9690251. The reversal of 9690240 is 420969.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 9690198 and 9690207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94029 + ... + 94131.

It is an arithmetic number, because the mean of its divisors is an integer number (188955).

Almost surely, 29690240 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 9690240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18139680).

9690240 is an abundant number, since it is smaller than the sum of its proper divisors (26589120).

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

9690240 is a wasteful number, since it uses less digits than its factorization.

9690240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 9690240 is about 3112.9150325700. The cubic root of 9690240 is about 213.1955707796.

The spelling of 9690240 in words is "nine million, six hundred ninety thousand, two hundred forty".