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16821420 = 22357112331
BaseRepresentation
bin100000000101…
…0110010101100
31011122121122120
41000022302230
513301241140
61400312540
7262660020
oct100126254
934577576
1016821420
11954a200
125772750
13363c705
14233c380
1517241d0
hex100acac

16821420 has 144 divisors (see below), whose sum is σ = 59345664. Its totient is φ = 3484800.

The previous prime is 16821407. The next prime is 16821433. The reversal of 16821420 is 2412861.

It is an interprime number because it is at equal distance from previous prime (16821407) and next prime (16821433).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50655 + ... + 50985.

Almost surely, 216821420 is an apocalyptic number.

16821420 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 16821420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29672832).

16821420 is an abundant number, since it is smaller than the sum of its proper divisors (42524244).

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

16821420 is a wasteful number, since it uses less digits than its factorization.

16821420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 16821420 is about 4101.3924464747. The cubic root of 16821420 is about 256.2246359983.

The spelling of 16821420 in words is "sixteen million, eight hundred twenty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 105 110 121 132 140 154 165 210 220 231 242 308 330 331 363 385 420 462 484 605 660 662 726 770 847 924 993 1155 1210 1324 1452 1540 1655 1694 1815 1986 2310 2317 2420 2541 3310 3388 3630 3641 3972 4235 4620 4634 4965 5082 6620 6951 7260 7282 8470 9268 9930 10164 10923 11585 12705 13902 14564 16940 18205 19860 21846 23170 25410 25487 27804 34755 36410 40051 43692 46340 50820 50974 54615 69510 72820 76461 80102 101948 109230 120153 127435 139020 152922 160204 200255 218460 240306 254870 280357 305844 382305 400510 480612 509740 560714 600765 764610 801020 841071 1121428 1201530 1401785 1529220 1682142 2403060 2803570 3364284 4205355 5607140 8410710 16821420