Search a number
-
+
201724320 = 2535760037
BaseRepresentation
bin11000000011000…
…01000110100000
3112001120122202010
430001201012200
5403120134240
632003352520
74666425360
oct1401410640
9461518663
10201724320
11a3960516
1257682740
1332a3c105
141cb109a0
1512a9a280
hexc0611a0

201724320 has 96 divisors (see below), whose sum is σ = 726219648. Its totient is φ = 46107648.

The previous prime is 201724267. The next prime is 201724339. The reversal of 201724320 is 23427102.

201724320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 26659 + ... + 33378.

It is an arithmetic number, because the mean of its divisors is an integer number (7564788).

Almost surely, 2201724320 is an apocalyptic number.

201724320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201724320 is an abundant number, since it is smaller than the sum of its proper divisors (524495328).

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

201724320 is a wasteful number, since it uses less digits than its factorization.

201724320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60062 (or 60054 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 201724320 is about 14202.9687037605. The cubic root of 201724320 is about 586.4793881104.

The spelling of 201724320 in words is "two hundred one million, seven hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 60037 120074 180111 240148 300185 360222 420259 480296 600370 720444 840518 900555 960592 1200740 1260777 1440888 1681036 1801110 1921184 2101295 2401480 2521554 2881776 3362072 3602220 4202590 4802960 5043108 5763552 6303885 6724144 7204440 8405180 9605920 10086216 12607770 13448288 14408880 16810360 20172432 25215540 28817760 33620720 40344864 50431080 67241440 100862160 201724320