Search a number
-
+
272187840 = 26352811009
BaseRepresentation
bin10000001110010…
…100000111000000
3200222011120112010
4100032110013000
51024140002330
643001532520
76513362361
oct2016240700
9628146463
10272187840
1112a708831
12771a4140
13445108c2
1428213b68
1518d683b0
hex103941c0

272187840 has 112 divisors (see below), whose sum is σ = 868131360. Its totient is φ = 72253440.

The previous prime is 272187803. The next prime is 272187931. The reversal of 272187840 is 48781272.

272187840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 269256 + ... + 270264.

Almost surely, 2272187840 is an apocalyptic number.

272187840 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 272187840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434065680).

272187840 is an abundant number, since it is smaller than the sum of its proper divisors (595943520).

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

272187840 is a wasteful number, since it uses less digits than its factorization.

272187840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 39.

The square root of 272187840 is about 16498.1162561063. The cubic root of 272187840 is about 648.0714751216.

The spelling of 272187840 in words is "two hundred seventy-two million, one hundred eighty-seven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 281 320 480 562 843 960 1009 1124 1405 1686 2018 2248 2810 3027 3372 4036 4215 4496 5045 5620 6054 6744 8072 8430 8992 10090 11240 12108 13488 15135 16144 16860 17984 20180 22480 24216 26976 30270 32288 33720 40360 44960 48432 53952 60540 64576 67440 80720 89920 96864 121080 134880 161440 193728 242160 269760 283529 322880 484320 567058 850587 968640 1134116 1417645 1701174 2268232 2835290 3402348 4252935 4536464 5670580 6804696 8505870 9072928 11341160 13609392 17011740 18145856 22682320 27218784 34023480 45364640 54437568 68046960 90729280 136093920 272187840