Search a number
-
+
16871316 = 22371119312
BaseRepresentation
bin100000001011…
…0111110010100
31011202011002120
41000112332110
513304340231
61401335540
7263255340
oct100267624
934664076
1016871316
119583740
1257975b0
133659337
142352620
151733d96
hex1016f94

16871316 has 144 divisors (see below), whose sum is σ = 53383680. Its totient is φ = 4017600.

The previous prime is 16871311. The next prime is 16871333. The reversal of 16871316 is 61317861.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16871311) 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 47 ways as a sum of consecutive naturals, for example, 544221 + ... + 544251.

It is an arithmetic number, because the mean of its divisors is an integer number (370720).

Almost surely, 216871316 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 16871316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26691840).

16871316 is an abundant number, since it is smaller than the sum of its proper divisors (36512364).

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

16871316 is a wasteful number, since it uses less digits than its factorization.

16871316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 73 counting only the distinct ones).

The product of its digits is 6048, while the sum is 33.

The square root of 16871316 is about 4107.4707546129. The cubic root of 16871316 is about 256.4777253056.

It can be divided in two parts, 1687 and 1316, that added together give a palindrome (3003).

The spelling of 16871316 in words is "sixteen million, eight hundred seventy-one thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 11 12 14 19 21 22 28 31 33 38 42 44 57 62 66 76 77 84 93 114 124 132 133 154 186 209 217 228 231 266 308 341 372 399 418 434 462 532 589 627 651 682 798 836 868 924 961 1023 1178 1254 1302 1364 1463 1596 1767 1922 2046 2356 2387 2508 2604 2883 2926 3534 3844 4092 4123 4389 4774 5766 5852 6479 6727 7068 7161 8246 8778 9548 10571 11532 12369 12958 13454 14322 16492 17556 18259 19437 20181 21142 24738 25916 26908 28644 31713 36518 38874 40362 42284 45353 49476 54777 63426 73036 73997 77748 80724 90706 109554 126852 127813 136059 147994 181412 200849 219108 221991 255626 272118 295988 383439 401698 443982 511252 544236 602547 766878 803396 887964 1205094 1405943 1533756 2410188 2811886 4217829 5623772 8435658 16871316