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5982984 = 233471319
BaseRepresentation
bin10110110100101100001000
3102020222010000
4112310230020
53012423414
6332123000
7101566050
oct26645410
912228100
105982984
113417117
122006460
131316337
14b1a560
157d2b09
hex5b4b08

5982984 has 80 divisors (see below), whose sum is σ = 19166400. Its totient is φ = 1708128.

The previous prime is 5982983. The next prime is 5983009. The reversal of 5982984 is 4892895.

It is not an unprimeable number, because it can be changed into a prime (5982983) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3877 + ... + 5195.

It is an arithmetic number, because the mean of its divisors is an integer number (239580).

Almost surely, 25982984 is an apocalyptic number.

5982984 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5982984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9583200).

5982984 is an abundant number, since it is smaller than the sum of its proper divisors (13183416).

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

5982984 is a wasteful number, since it uses less digits than its factorization.

5982984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 1331 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 5982984 is about 2446.0139002058. The cubic root of 5982984 is about 181.5401181723.

The spelling of 5982984 in words is "five million, nine hundred eighty-two thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 504 567 648 756 1134 1319 1512 2268 2638 3957 4536 5276 7914 9233 10552 11871 15828 18466 23742 27699 31656 35613 36932 47484 55398 71226 73864 83097 94968 106839 110796 142452 166194 213678 221592 249291 284904 332388 427356 498582 664776 747873 854712 997164 1495746 1994328 2991492 5982984