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16828020 = 22335112833
BaseRepresentation
bin100000000110…
…0011001110100
31011122221201000
41000030121310
513301444040
61400403300
7263015166
oct100143164
934587630
1016828020
119554160
125776530
133642711
142340936
151726130
hex100c674

16828020 has 96 divisors (see below), whose sum is σ = 57133440. Its totient is φ = 4078080.

The previous prime is 16828003. The next prime is 16828057. The reversal of 16828020 is 2082861.

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

It is a congruent number.

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, 4524 + ... + 7356.

It is an arithmetic number, because the mean of its divisors is an integer number (595140).

Almost surely, 216828020 is an apocalyptic number.

16828020 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 16828020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28566720).

16828020 is an abundant number, since it is smaller than the sum of its proper divisors (40305420).

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

16828020 is a wasteful number, since it uses less digits than its factorization.

16828020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2862 (or 2854 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 16828020 is about 4102.1969723552. The cubic root of 16828020 is about 256.2581421169.

The spelling of 16828020 in words is "sixteen million, eight hundred twenty-eight thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2833 2970 5666 5940 8499 11332 14165 16998 25497 28330 31163 33996 42495 50994 56660 62326 76491 84990 93489 101988 124652 127485 152982 155815 169980 186978 254970 280467 305964 311630 373956 382455 467445 509940 560934 623260 764910 841401 934890 1121868 1402335 1529820 1682802 1869780 2804670 3365604 4207005 5609340 8414010 16828020