Search a number
-
+
16809984 = 2153319
BaseRepresentation
bin100000000100…
…0000000000000
31011122000222000
41000020000000
513300404414
61400144000
7262611462
oct100100000
934560860
1016809984
119541654
125768000
133637449
142338132
151720b09
hex1008000

16809984 has 128 divisors (see below), whose sum is σ = 52428000. Its totient is φ = 5308416.

The previous prime is 16809979. The next prime is 16809997. The reversal of 16809984 is 48990861.

It is a tau number, because it is divible by the number of its divisors (128).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 16809984 = 323 + 2563 = 1443 + 2403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 884727 + ... + 884745.

Almost surely, 216809984 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 16809984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26214000).

16809984 is an abundant number, since it is smaller than the sum of its proper divisors (35618016).

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

16809984 is an frugal number, since it uses more digits than its factorization.

16809984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 16809984 is about 4099.9980487800. The cubic root of 16809984 is about 256.1665582773.

It can be divided in two parts, 1680 and 9984, that added together give a square (11664 = 1082).

The spelling of 16809984 in words is "sixteen million, eight hundred nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 128 144 152 171 192 216 228 256 288 304 342 384 432 456 512 513 576 608 684 768 864 912 1024 1026 1152 1216 1368 1536 1728 1824 2048 2052 2304 2432 2736 3072 3456 3648 4096 4104 4608 4864 5472 6144 6912 7296 8192 8208 9216 9728 10944 12288 13824 14592 16384 16416 18432 19456 21888 24576 27648 29184 32768 32832 36864 38912 43776 49152 55296 58368 65664 73728 77824 87552 98304 110592 116736 131328 147456 155648 175104 221184 233472 262656 294912 311296 350208 442368 466944 525312 622592 700416 884736 933888 1050624 1400832 1867776 2101248 2801664 4202496 5603328 8404992 16809984