Search a number
-
+
16921008 = 24331323131
BaseRepresentation
bin100000010001…
…1000110110000
31011211200021000
41000203012300
513312433013
61402402000
7263553246
oct100430660
934750230
1016921008
119608005
125800300
133675b40
142366796
151743973
hex10231b0

16921008 has 160 divisors (see below), whose sum is σ = 54996480. Its totient is φ = 4942080.

The previous prime is 16920983. The next prime is 16921013. The reversal of 16921008 is 80012961.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129103 + ... + 129233.

It is an arithmetic number, because the mean of its divisors is an integer number (343728).

Almost surely, 216921008 is an apocalyptic number.

16921008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16921008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27498240).

16921008 is an abundant number, since it is smaller than the sum of its proper divisors (38075472).

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

16921008 is a wasteful number, since it uses less digits than its factorization.

16921008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 16921008 is about 4113.5152850087. The cubic root of 16921008 is about 256.7292843980.

Adding to 16921008 its reverse (80012961), we get a palindrome (96933969).

The spelling of 16921008 in words is "sixteen million, nine hundred twenty-one thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 23 24 26 27 36 39 46 48 52 54 69 72 78 92 104 108 117 131 138 144 156 184 207 208 216 234 262 276 299 312 351 368 393 414 432 468 524 552 598 621 624 702 786 828 897 936 1048 1104 1179 1196 1242 1404 1572 1656 1703 1794 1872 2096 2358 2392 2484 2691 2808 3013 3144 3312 3406 3537 3588 4716 4784 4968 5109 5382 5616 6026 6288 6812 7074 7176 8073 9039 9432 9936 10218 10764 12052 13624 14148 14352 15327 16146 18078 18864 20436 21528 24104 27117 27248 28296 30654 32292 36156 39169 40872 43056 45981 48208 54234 56592 61308 64584 72312 78338 81351 81744 91962 108468 117507 122616 129168 144624 156676 162702 183924 216936 235014 245232 313352 325404 352521 367848 433872 470028 626704 650808 705042 735696 940056 1057563 1301616 1410084 1880112 2115126 2820168 4230252 5640336 8460504 16921008