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28073640 = 23357191759
BaseRepresentation
bin110101100010…
…1111010101000
31221211021210110
41223011322220
524141324030
62441414320
7460423230
oct153057250
957737713
1028073640
1114935161
12949a3a0
135a7c22a
143a2acc0
1526e81b0
hex1ac5ea8

28073640 has 128 divisors (see below), whose sum is σ = 101376000. Its totient is φ = 6075648.

The previous prime is 28073627. The next prime is 28073651. The reversal of 28073640 is 4637082.

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 = 28073598 and 28073607.

It is an unprimeable number.

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, 15081 + ... + 16839.

It is an arithmetic number, because the mean of its divisors is an integer number (792000).

Almost surely, 228073640 is an apocalyptic number.

28073640 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 28073640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50688000).

28073640 is an abundant number, since it is smaller than the sum of its proper divisors (73302360).

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

28073640 is a wasteful number, since it uses less digits than its factorization.

28073640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1799 (or 1795 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 28073640 is about 5298.4563789844. The cubic root of 28073640 is about 303.9248717858.

It can be divided in two parts, 280 and 73640, that added together give a triangular number (73920 = T384).

The spelling of 28073640 in words is "twenty-eight million, seventy-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 19 20 21 24 28 30 35 38 40 42 56 57 60 70 76 84 95 105 114 120 133 140 152 168 190 210 228 266 280 285 380 399 420 456 532 570 665 760 798 840 1064 1140 1330 1596 1759 1995 2280 2660 3192 3518 3990 5277 5320 7036 7980 8795 10554 12313 14072 15960 17590 21108 24626 26385 33421 35180 36939 42216 49252 52770 61565 66842 70360 73878 98504 100263 105540 123130 133684 147756 167105 184695 200526 211080 233947 246260 267368 295512 334210 369390 401052 467894 492520 501315 668420 701841 738780 802104 935788 1002630 1169735 1336840 1403682 1477560 1871576 2005260 2339470 2807364 3509205 4010520 4678940 5614728 7018410 9357880 14036820 28073640