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16421700 = 22352194367
BaseRepresentation
bin111110101001…
…001101000100
31010220022100010
4332221031010
513200443300
61343550220
7256403451
oct76511504
933808303
1016421700
1192a6959
1255bb370
13352c7a9
142276828
151695a50
hexfa9344

16421700 has 144 divisors (see below), whose sum is σ = 51941120. Its totient is φ = 3991680.

The previous prime is 16421693. The next prime is 16421707. The reversal of 16421700 is 712461.

16421700 = T264 + T265 + ... + T488.

16421700 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (16421693) and next prime (16421707).

It is not an unprimeable number, because it can be changed into a prime (16421707) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 245067 + ... + 245133.

Almost surely, 216421700 is an apocalyptic number.

16421700 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 16421700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25970560).

16421700 is an abundant number, since it is smaller than the sum of its proper divisors (35519420).

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

16421700 is a wasteful number, since it uses less digits than its factorization.

16421700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 16421700 is about 4052.3696771149. The cubic root of 16421700 is about 254.1788270929.

The spelling of 16421700 in words is "sixteen million, four hundred twenty-one thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 43 50 57 60 67 75 76 86 95 100 114 129 134 150 172 190 201 215 228 258 268 285 300 335 380 402 430 475 516 570 645 670 804 817 860 950 1005 1075 1140 1273 1290 1340 1425 1634 1675 1900 2010 2150 2451 2546 2580 2850 2881 3225 3268 3350 3819 4020 4085 4300 4902 5025 5092 5700 5762 6365 6450 6700 7638 8170 8643 9804 10050 11524 12255 12730 12900 14405 15276 16340 17286 19095 20100 20425 24510 25460 28810 31825 34572 38190 40850 43215 49020 54739 57620 61275 63650 72025 76380 81700 86430 95475 109478 122550 127300 144050 164217 172860 190950 216075 218956 245100 273695 288100 328434 381900 432150 547390 656868 821085 864300 1094780 1368475 1642170 2736950 3284340 4105425 5473900 8210850 16421700