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28016940 = 22357411627
BaseRepresentation
bin110101011100…
…0000100101100
31221201102000110
41222320010230
524133020230
62440300020
7460066020
oct152700454
957642013
1028016940
11148a65a6
129471610
135a5c493
143a14380
1526d64b0
hex1ab812c

28016940 has 96 divisors (see below), whose sum is σ = 91897344. Its totient is φ = 6243840.

The previous prime is 28016897. The next prime is 28016957. The reversal of 28016940 is 4961082.

28016940 = 1132 + 1142 + ... + 4402.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 28016898 and 28016907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16407 + ... + 18033.

It is an arithmetic number, because the mean of its divisors is an integer number (957264).

Almost surely, 228016940 is an apocalyptic number.

28016940 is a gapful number since it is divisible by the number (20) 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 28016940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45948672).

28016940 is an abundant number, since it is smaller than the sum of its proper divisors (63880404).

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

28016940 is a wasteful number, since it uses less digits than its factorization.

28016940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1687 (or 1685 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 28016940 is about 5293.1030596428. The cubic root of 28016940 is about 303.7201227197.

The spelling of 28016940 in words is "twenty-eight million, sixteen thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 41 42 60 70 82 84 105 123 140 164 205 210 246 287 410 420 492 574 615 820 861 1148 1230 1435 1627 1722 2460 2870 3254 3444 4305 4881 5740 6508 8135 8610 9762 11389 16270 17220 19524 22778 24405 32540 34167 45556 48810 56945 66707 68334 97620 113890 133414 136668 170835 200121 227780 266828 333535 341670 400242 466949 667070 683340 800484 933898 1000605 1334140 1400847 1867796 2001210 2334745 2801694 4002420 4669490 5603388 7004235 9338980 14008470 28016940