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9800640 = 263254183
BaseRepresentation
bin100101011000…
…101111000000
3200102220221200
4211120233000
510002110030
6550021200
7146206203
oct45305700
920386850
109800640
115594403
123347800
132051bc5
14143193a
15cd8d60
hex958bc0

9800640 has 168 divisors, whose sum is σ = 34948368. Its totient is φ = 2519040.

The previous prime is 9800639. The next prime is 9800641. The reversal of 9800640 is 460089.

It is an interprime number because it is at equal distance from previous prime (9800639) and next prime (9800641).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9800641) 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, 118039 + ... + 118121.

It is an arithmetic number, because the mean of its divisors is an integer number (208026).

Almost surely, 29800640 is an apocalyptic number.

9800640 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 9800640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17474184).

9800640 is an abundant number, since it is smaller than the sum of its proper divisors (25147728).

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

9800640 is a wasteful number, since it uses less digits than its factorization.

9800640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 9800640 is about 3130.5973870813. The cubic root of 9800640 is about 214.0021544605.

It can be divided in two parts, 9800 and 640, that added together give a triangular number (10440 = T144).

The spelling of 9800640 in words is "nine million, eight hundred thousand, six hundred forty".