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9896640 = 263513261
BaseRepresentation
bin100101110000…
…001011000000
3200121210122020
4211300023000
510013143030
6552041440
7150056115
oct45601300
920553566
109896640
11564a546
123393280
132086800
14145890c
15d07510
hex9702c0

9896640 has 168 divisors, whose sum is σ = 34582608. Its totient is φ = 2396160.

The previous prime is 9896639. The next prime is 9896641. The reversal of 9896640 is 466989.

It is an interprime number because it is at equal distance from previous prime (9896639) and next prime (9896641).

It is a junction number, because it is equal to n+sod(n) for n = 9896592 and 9896601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9896641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162210 + ... + 162270.

Almost surely, 29896640 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 9896640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17291304).

9896640 is an abundant number, since it is smaller than the sum of its proper divisors (24685968).

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

9896640 is a wasteful number, since it uses less digits than its factorization.

9896640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 9896640 is about 3145.8925601489. The cubic root of 9896640 is about 214.6986222677.

The spelling of 9896640 in words is "nine million, eight hundred ninety-six thousand, six hundred forty".