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9984480 = 2535113161
BaseRepresentation
bin100110000101…
…100111100000
3200210021010120
4212011213200
510024000410
6554000240
7150603162
oct46054740
920707116
109984480
1156aa540
123416080
1320b779c
14147c932
15d23570
hex9859e0

9984480 has 192 divisors, whose sum is σ = 35997696. Its totient is φ = 2304000.

The previous prime is 9984479. The next prime is 9984493. The reversal of 9984480 is 844899.

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, 163650 + ... + 163710.

It is an arithmetic number, because the mean of its divisors is an integer number (187488).

Almost surely, 29984480 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 9984480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17998848).

9984480 is an abundant number, since it is smaller than the sum of its proper divisors (26013216).

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

9984480 is a wasteful number, since it uses less digits than its factorization.

9984480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 9984480 is about 3159.8227798407. The cubic root of 9984480 is about 215.3319552055.

It can be divided in two parts, 9 and 984480, that added together give a palindrome (984489).

The spelling of 9984480 in words is "nine million, nine hundred eighty-four thousand, four hundred eighty".