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16998984 = 233437709
BaseRepresentation
bin100000011011…
…0001001001000
31011222122020000
41000312021020
513322431414
61404203000
7264326502
oct100661110
934878200
1016998984
119660652
125839460
1336a2492
142386d72
15175bb09
hex1036248

16998984 has 80 divisors (see below), whose sum is σ = 48968700. Its totient is φ = 5505408.

The previous prime is 16998973. The next prime is 16999013. The reversal of 16998984 is 48989961.

It can be written as a sum of positive squares in 2 ways, for example, as 16990884 + 8100 = 4122^2 + 90^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a self number, because there is not a number n which added to its sum of digits gives 16998984.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 23622 + ... + 24330.

Almost surely, 216998984 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 16998984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24484350).

16998984 is an abundant number, since it is smaller than the sum of its proper divisors (31969716).

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

16998984 is a wasteful number, since it uses less digits than its factorization.

16998984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 751 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 54.

The square root of 16998984 is about 4122.9824156792. The cubic root of 16998984 is about 257.1230365675.

The spelling of 16998984 in words is "sixteen million, nine hundred ninety-eight thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 81 108 111 148 162 216 222 296 324 333 444 648 666 709 888 999 1332 1418 1998 2127 2664 2836 2997 3996 4254 5672 5994 6381 7992 8508 11988 12762 17016 19143 23976 25524 26233 38286 51048 52466 57429 76572 78699 104932 114858 153144 157398 209864 229716 236097 314796 459432 472194 629592 708291 944388 1416582 1888776 2124873 2833164 4249746 5666328 8499492 16998984