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16083216 = 2432671667
BaseRepresentation
bin111101010110…
…100100010000
31010021010000200
4331112210100
513104130331
61332415200
7253463562
oct75264420
933233020
1016083216
119095616
125477500
1334416c6
1421c9332
15162a5e6
hexf56910

16083216 has 60 divisors (see below), whose sum is σ = 45709872. Its totient is φ = 5277888.

The previous prime is 16083181. The next prime is 16083217. The reversal of 16083216 is 61238061.

It is a self number, because there is not a number n which added to its sum of digits gives 16083216.

It is not an unprimeable number, because it can be changed into a prime (16083217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8815 + ... + 10481.

Almost surely, 216083216 is an apocalyptic number.

16083216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

16083216 is the 2144-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16083216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22854936).

16083216 is an abundant number, since it is smaller than the sum of its proper divisors (29626656).

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

16083216 is a wasteful number, since it uses less digits than its factorization.

16083216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1748 (or 1739 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 16083216 is about 4010.3885098579. The cubic root of 16083216 is about 252.4203114214.

The spelling of 16083216 in words is "sixteen million, eighty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 67 72 134 144 201 268 402 536 603 804 1072 1206 1608 1667 2412 3216 3334 4824 5001 6668 9648 10002 13336 15003 20004 26672 30006 40008 60012 80016 111689 120024 223378 240048 335067 446756 670134 893512 1005201 1340268 1787024 2010402 2680536 4020804 5361072 8041608 16083216