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9988440 = 23357112347
BaseRepresentation
bin100110000110…
…100101011000
3200210110120020
4212012211120
510024112230
6554030440
7150620550
oct46064530
920713506
109988440
115702510
123418420
1320b9527
141480160
15d24810
hex986958

9988440 has 256 divisors, whose sum is σ = 39813120. Its totient is φ = 1943040.

The previous prime is 9988411. The next prime is 9988453. The reversal of 9988440 is 448899.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 9988392 and 9988401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 212497 + ... + 212543.

It is an arithmetic number, because the mean of its divisors is an integer number (155520).

Almost surely, 29988440 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 9988440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19906560).

9988440 is an abundant number, since it is smaller than the sum of its proper divisors (29824680).

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

9988440 is a wasteful number, since it uses less digits than its factorization.

9988440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 9988440 is about 3160.4493351421. The cubic root of 9988440 is about 215.3604194431.

The spelling of 9988440 in words is "nine million, nine hundred eighty-eight thousand, four hundred forty".