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16390144 = 21153151
BaseRepresentation
bin111110100001…
…100000000000
31010211201001101
4332201200000
513143441034
61343144144
7256212451
oct76414000
933751041
1016390144
119285181
1255a5054
13351b314
142269128
15168b514
hexfa1800

16390144 has 48 divisors (see below), whose sum is σ = 33611760. Its totient is φ = 7987200.

The previous prime is 16390123. The next prime is 16390163. The reversal of 16390144 is 44109361.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 108469 + ... + 108619.

It is an arithmetic number, because the mean of its divisors is an integer number (700245).

Almost surely, 216390144 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 16390144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16805880).

16390144 is an abundant number, since it is smaller than the sum of its proper divisors (17221616).

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

16390144 is an equidigital number, since it uses as much as digits as its factorization.

16390144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 16390144 is about 4048.4742805161. The cubic root of 16390144 is about 254.0159123683.

The spelling of 16390144 in words is "sixteen million, three hundred ninety thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 53 64 106 128 151 212 256 302 424 512 604 848 1024 1208 1696 2048 2416 3392 4832 6784 8003 9664 13568 16006 19328 27136 32012 38656 54272 64024 77312 108544 128048 154624 256096 309248 512192 1024384 2048768 4097536 8195072 16390144