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28680540 = 22357232969
BaseRepresentation
bin110110101101…
…0000101011100
31222222010022020
41231122011130
524320234130
62502420140
7465531510
oct155320534
958863266
1028680540
111520a129
129731650
135c32545
143b48140
1527b7e10
hex1b5a15c

28680540 has 96 divisors (see below), whose sum is σ = 95800320. Its totient is φ = 6268416.

The previous prime is 28680497. The next prime is 28680541. The reversal of 28680540 is 4508682.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28680541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8176 + ... + 11144.

It is an arithmetic number, because the mean of its divisors is an integer number (997920).

Almost surely, 228680540 is an apocalyptic number.

28680540 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 28680540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47900160).

28680540 is an abundant number, since it is smaller than the sum of its proper divisors (67119780).

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

28680540 is a wasteful number, since it uses less digits than its factorization.

28680540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3011 (or 3009 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 28680540 is about 5355.4215520349. The cubic root of 28680540 is about 306.0993739360.

The spelling of 28680540 in words is "twenty-eight million, six hundred eighty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 23 28 30 35 42 46 60 69 70 84 92 105 115 138 140 161 210 230 276 322 345 420 460 483 644 690 805 966 1380 1610 1932 2415 2969 3220 4830 5938 8907 9660 11876 14845 17814 20783 29690 35628 41566 44535 59380 62349 68287 83132 89070 103915 124698 136574 178140 204861 207830 249396 273148 311745 341435 409722 415660 478009 623490 682870 819444 956018 1024305 1246980 1365740 1434027 1912036 2048610 2390045 2868054 4097220 4780090 5736108 7170135 9560180 14340270 28680540