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9994896 = 2432312239
BaseRepresentation
bin100110001000…
…001010010000
3200210210102100
4212020022100
510024314041
6554120400
7150645432
oct46101220
920723370
109994896
11570734a
123420100
1320bc452
141482652
15d266b6
hex988290

9994896 has 60 divisors (see below), whose sum is σ = 28887040. Its totient is φ = 3222720.

The previous prime is 9994871. The next prime is 9994913. The reversal of 9994896 is 6984999.

It is a happy number.

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

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 3345 + ... + 5583.

Almost surely, 29994896 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 9994896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14443520).

9994896 is an abundant number, since it is smaller than the sum of its proper divisors (18892144).

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

9994896 is a wasteful number, since it uses less digits than its factorization.

9994896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2284 (or 2275 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 54.

The square root of 9994896 is about 3161.4705439083. The cubic root of 9994896 is about 215.4068086498.

The spelling of 9994896 in words is "nine million, nine hundred ninety-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1116 1488 2232 2239 4464 4478 6717 8956 13434 17912 20151 26868 35824 40302 53736 69409 80604 107472 138818 161208 208227 277636 322416 416454 555272 624681 832908 1110544 1249362 1665816 2498724 3331632 4997448 9994896