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9900016 = 247372389
BaseRepresentation
bin100101110000…
…111111110000
3200121222021021
4211300333300
510013300031
6552105224
7150102010
oct45607760
920558237
109900016
115652035
123395214
1320881c9
141459c40
15d08511
hex970ff0

9900016 has 40 divisors (see below), whose sum is σ = 22523360. Its totient is φ = 4126464.

The previous prime is 9899999. The next prime is 9900047. The reversal of 9900016 is 6100099.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2950 + ... + 5338.

It is an arithmetic number, because the mean of its divisors is an integer number (563084).

Almost surely, 29900016 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 9900016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11261680).

9900016 is an abundant number, since it is smaller than the sum of its proper divisors (12623344).

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

9900016 is a wasteful number, since it uses less digits than its factorization.

9900016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2441 (or 2435 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 25.

The square root of 9900016 is about 3146.4290870763. The cubic root of 9900016 is about 214.7230325775.

The spelling of 9900016 in words is "nine million, nine hundred thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 37 56 74 112 148 259 296 518 592 1036 2072 2389 4144 4778 9556 16723 19112 33446 38224 66892 88393 133784 176786 267568 353572 618751 707144 1237502 1414288 2475004 4950008 9900016