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9984006 = 2331937263
BaseRepresentation
bin100110000101…
…100000000110
3200210020111000
4212011200012
510023442011
6553554130
7150601614
oct46054006
920706430
109984006
1156aa14a
123415946
1320b74c6
14147c6b4
15d23356
hex985806

9984006 has 64 divisors (see below), whose sum is σ = 24076800. Its totient is φ = 3055968.

The previous prime is 9983999. The next prime is 9984011. The reversal of 9984006 is 6004899.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37831 + ... + 38093.

It is an arithmetic number, because the mean of its divisors is an integer number (376200).

Almost surely, 29984006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9984006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12038400).

9984006 is an abundant number, since it is smaller than the sum of its proper divisors (14092794).

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

9984006 is a wasteful number, since it uses less digits than its factorization.

9984006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 9984006 is about 3159.7477747441. The cubic root of 9984006 is about 215.3285476182.

The spelling of 9984006 in words is "nine million, nine hundred eighty-four thousand, six".

Divisors: 1 2 3 6 9 18 19 27 37 38 54 57 74 111 114 171 222 263 333 342 513 526 666 703 789 999 1026 1406 1578 1998 2109 2367 4218 4734 4997 6327 7101 9731 9994 12654 14202 14991 18981 19462 29193 29982 37962 44973 58386 87579 89946 134919 175158 184889 262737 269838 369778 525474 554667 1109334 1664001 3328002 4992003 9984006