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9990216 = 2337571
BaseRepresentation
bin100110000111…
…000001001000
3200210120000000
4212013001020
510024141331
6554043000
7150625665
oct46070110
920716000
109990216
115703885
123419460
1320ba292
141480a6c
15d250e6
hex987048

9990216 has 64 divisors (see below), whose sum is σ = 28142400. Its totient is φ = 3324240.

The previous prime is 9990209. The next prime is 9990221. The reversal of 9990216 is 6120999.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17211 + ... + 17781.

It is an arithmetic number, because the mean of its divisors is an integer number (439725).

Almost surely, 29990216 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 9990216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14071200).

9990216 is an abundant number, since it is smaller than the sum of its proper divisors (18152184).

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

9990216 is an equidigital number, since it uses as much as digits as its factorization.

9990216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 9990216 is about 3160.7302953590. The cubic root of 9990216 is about 215.3731827788.

The spelling of 9990216 in words is "nine million, nine hundred ninety thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 571 648 729 972 1142 1458 1713 1944 2187 2284 2916 3426 4374 4568 5139 5832 6852 8748 10278 13704 15417 17496 20556 30834 41112 46251 61668 92502 123336 138753 185004 277506 370008 416259 555012 832518 1110024 1248777 1665036 2497554 3330072 4995108 9990216