Search a number
-
+
16286144 = 26736353
BaseRepresentation
bin111110001000…
…000111000000
31010122102101112
4332020013000
513132124034
61341022452
7255300320
oct76100700
933572345
1016286144
119214026
125554a28
1334b2b94
14223d280
15166a7ce
hexf881c0

16286144 has 28 divisors (see below), whose sum is σ = 36935664. Its totient is φ = 6979584.

The previous prime is 16286117. The next prime is 16286167. The reversal of 16286144 is 44168261.

It is a tau number, because it is divible by the number of its divisors (28).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 16286144.

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, 17729 + ... + 18624.

Almost surely, 216286144 is an apocalyptic number.

16286144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

16286144 is an abundant number, since it is smaller than the sum of its proper divisors (20649520).

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

16286144 is an equidigital number, since it uses as much as digits as its factorization.

16286144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36372 (or 36362 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

The square root of 16286144 is about 4035.6094954790. The cubic root of 16286144 is about 253.4775048865.

The spelling of 16286144 in words is "sixteen million, two hundred eighty-six thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 36353 72706 145412 254471 290824 508942 581648 1017884 1163296 2035768 2326592 4071536 8143072 16286144