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9795240 = 23325713223
BaseRepresentation
bin100101010111…
…011010101000
3200102122112200
4211113122220
510001421430
6545540200
7146154360
oct45273250
920378480
109795240
115590344
123344660
13204c600
14142d9a0
15cd7460
hex9576a8

9795240 has 288 divisors, whose sum is σ = 41109120. Its totient is φ = 1976832.

The previous prime is 9795211. The next prime is 9795257. The reversal of 9795240 is 425979.

9795240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 9795195 and 9795204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 425869 + ... + 425891.

It is an arithmetic number, because the mean of its divisors is an integer number (142740).

Almost surely, 29795240 is an apocalyptic number.

9795240 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9795240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20554560).

9795240 is an abundant number, since it is smaller than the sum of its proper divisors (31313880).

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

9795240 is a wasteful number, since it uses less digits than its factorization.

9795240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 9795240 is about 3129.7348130473. The cubic root of 9795240 is about 213.9628432883.

The spelling of 9795240 in words is "nine million, seven hundred ninety-five thousand, two hundred forty".