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16821090 = 232511131307
BaseRepresentation
bin100000000101…
…0101101100010
31011122121012100
41000022231202
513301233330
61400311230
7262656036
oct100125542
934577170
1016821090
119549a30
125772516
13363c510
14233c1c6
151724060
hex100ab62

16821090 has 96 divisors (see below), whose sum is σ = 51420096. Its totient is φ = 3761280.

The previous prime is 16821083. The next prime is 16821121. The reversal of 16821090 is 9012861.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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, 12217 + ... + 13523.

It is an arithmetic number, because the mean of its divisors is an integer number (535626).

Almost surely, 216821090 is an apocalyptic number.

16821090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16821090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25710048).

16821090 is an abundant number, since it is smaller than the sum of its proper divisors (34599006).

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

16821090 is a wasteful number, since it uses less digits than its factorization.

16821090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344 (or 1341 counting only the distinct ones).

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

The square root of 16821090 is about 4101.3522160380. The cubic root of 16821090 is about 256.2229604624. Note that the first 3 decimals are identical.

It can be divided in two parts, 1682 and 1090, that added together give a palindrome (2772).

The spelling of 16821090 in words is "sixteen million, eight hundred twenty-one thousand, ninety".

Divisors: 1 2 3 5 6 9 10 11 13 15 18 22 26 30 33 39 45 55 65 66 78 90 99 110 117 130 143 165 195 198 234 286 330 390 429 495 585 715 858 990 1170 1287 1307 1430 2145 2574 2614 3921 4290 6435 6535 7842 11763 12870 13070 14377 16991 19605 23526 28754 33982 39210 43131 50973 58815 71885 84955 86262 101946 117630 129393 143770 152919 169910 186901 215655 254865 258786 305838 373802 431310 509730 560703 646965 764595 934505 1121406 1293930 1529190 1682109 1869010 2803515 3364218 5607030 8410545 16821090