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9996336 = 2432747211
BaseRepresentation
bin100110001000…
…100000110000
3200210212101200
4212020200300
510024340321
6554131200
7150652560
oct46104060
920725350
109996336
115708439
123420b00
1320bccbc
141482da0
15d26d26
hex988830

9996336 has 120 divisors (see below), whose sum is σ = 32807424. Its totient is φ = 2782080.

The previous prime is 9996313. The next prime is 9996359. The reversal of 9996336 is 6336999.

9996336 is a `hidden beast` number, since 9 + 9 + 9 + 633 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (9996313) and next prime (9996359).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 9996291 and 9996300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47271 + ... + 47481.

Almost surely, 29996336 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 9996336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16403712).

9996336 is an abundant number, since it is smaller than the sum of its proper divisors (22811088).

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

9996336 is a wasteful number, since it uses less digits than its factorization.

9996336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 270 counting only the distinct ones).

The product of its digits is 236196, while the sum is 45.

The square root of 9996336 is about 3161.6982778248. The cubic root of 9996336 is about 215.4171529598.

It can be divided in two parts, 99963 and 36, that added together give a palindrome (99999).

The spelling of 9996336 in words is "nine million, nine hundred ninety-six thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 47 48 56 63 72 84 94 112 126 141 144 168 188 211 252 282 329 336 376 422 423 504 564 633 658 752 844 846 987 1008 1128 1266 1316 1477 1688 1692 1899 1974 2256 2532 2632 2954 2961 3376 3384 3798 3948 4431 5064 5264 5908 5922 6768 7596 7896 8862 9917 10128 11816 11844 13293 15192 15792 17724 19834 23632 23688 26586 29751 30384 35448 39668 47376 53172 59502 69419 70896 79336 89253 106344 119004 138838 158672 178506 208257 212688 238008 277676 357012 416514 476016 555352 624771 714024 833028 1110704 1249542 1428048 1666056 2499084 3332112 4998168 9996336