Search a number
-
+
2016336 = 243717353
BaseRepresentation
bin111101100010001010000
310210102220010
413230101100
51004010321
6111114520
723065350
oct7542120
93712803
102016336
1111579a3
12812a40
135579ca
143a6b60
1529c676
hex1ec450

2016336 has 80 divisors (see below), whose sum is σ = 6321024. Its totient is φ = 540672.

The previous prime is 2016331. The next prime is 2016349. The reversal of 2016336 is 6336102.

It is a super-2 number, since 2×20163362 = 8131221729792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2016331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5536 + ... + 5888.

22016336 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 2016336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3160512).

2016336 is an abundant number, since it is smaller than the sum of its proper divisors (4304688).

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

2016336 is a wasteful number, since it uses less digits than its factorization.

2016336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 2016336 is about 1419.9774646099. The cubic root of 2016336 is about 126.3342097406.

The spelling of 2016336 in words is "two million, sixteen thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 136 168 204 238 272 336 353 357 408 476 706 714 816 952 1059 1412 1428 1904 2118 2471 2824 2856 4236 4942 5648 5712 6001 7413 8472 9884 12002 14826 16944 18003 19768 24004 29652 36006 39536 42007 48008 59304 72012 84014 96016 118608 126021 144024 168028 252042 288048 336056 504084 672112 1008168 2016336