Search a number
-
+
16297680 = 2435789109
BaseRepresentation
bin111110001010…
…111011010000
31010200000012210
4332022323100
513133011210
61341152120
7255346050
oct76127320
933600183
1016297680
119221763
12555b640
1334b81c9
142243560
15166de20
hexf8aed0

16297680 has 160 divisors (see below), whose sum is σ = 58924800. Its totient is φ = 3649536.

The previous prime is 16297667. The next prime is 16297691. The reversal of 16297680 is 8679261.

It is a super-2 number, since 2×162976802 = 531228746764800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149466 + ... + 149574.

It is an arithmetic number, because the mean of its divisors is an integer number (368280).

Almost surely, 216297680 is an apocalyptic number.

16297680 is a gapful number since it is divisible by the number (10) 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 16297680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29462400).

16297680 is an abundant number, since it is smaller than the sum of its proper divisors (42627120).

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

16297680 is a wasteful number, since it uses less digits than its factorization.

16297680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 16297680 is about 4037.0385185182. The cubic root of 16297680 is about 253.5373395196.

The spelling of 16297680 in words is "sixteen million, two hundred ninety-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 89 105 109 112 120 140 168 178 210 218 240 267 280 327 336 356 420 436 445 534 545 560 623 654 712 763 840 872 890 1068 1090 1246 1308 1335 1424 1526 1635 1680 1744 1780 1869 2136 2180 2289 2492 2616 2670 3052 3115 3270 3560 3738 3815 4272 4360 4578 4984 5232 5340 6104 6230 6540 7120 7476 7630 8720 9156 9345 9701 9968 10680 11445 12208 12460 13080 14952 15260 18312 18690 19402 21360 22890 24920 26160 29103 29904 30520 36624 37380 38804 45780 48505 49840 58206 61040 67907 74760 77608 91560 97010 116412 135814 145515 149520 155216 183120 194020 203721 232824 271628 291030 339535 388040 407442 465648 543256 582060 679070 776080 814884 1018605 1086512 1164120 1358140 1629768 2037210 2328240 2716280 3259536 4074420 5432560 8148840 16297680