Search a number
-
+
28175040 = 263451087
BaseRepresentation
bin110101101111…
…0101011000000
31222000102220000
41223132223000
524203100130
62443520000
7461324655
oct153365300
958012800
1028175040
11149a4363
129529000
135ab642a
143a55c2c
152718260
hex1adeac0

28175040 has 140 divisors (see below), whose sum is σ = 100315776. Its totient is φ = 7506432.

The previous prime is 28175011. The next prime is 28175047. The reversal of 28175040 is 4057182.

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

It is a junction number, because it is equal to n+sod(n) for n = 28174995 and 28175013.

It is not an unprimeable number, because it can be changed into a prime (28175047) 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 19 ways as a sum of consecutive naturals, for example, 25377 + ... + 26463.

Almost surely, 228175040 is an apocalyptic number.

28175040 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 28175040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50157888).

28175040 is an abundant number, since it is smaller than the sum of its proper divisors (72140736).

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

28175040 is a wasteful number, since it uses less digits than its factorization.

28175040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 28175040 is about 5308.0165787232. The cubic root of 28175040 is about 304.2903504834.

The spelling of 28175040 in words is "twenty-eight million, one hundred seventy-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 135 144 160 162 180 192 216 240 270 288 320 324 360 405 432 480 540 576 648 720 810 864 960 1080 1087 1296 1440 1620 1728 2160 2174 2592 2880 3240 3261 4320 4348 5184 5435 6480 6522 8640 8696 9783 10870 12960 13044 16305 17392 19566 21740 25920 26088 29349 32610 34784 39132 43480 48915 52176 58698 65220 69568 78264 86960 88047 97830 104352 117396 130440 146745 156528 173920 176094 195660 208704 234792 260880 293490 313056 347840 352188 391320 440235 469584 521760 586980 626112 704376 782640 880470 939168 1043520 1173960 1408752 1565280 1760940 1878336 2347920 2817504 3130560 3521880 4695840 5635008 7043760 9391680 14087520 28175040