Search a number
-
+
272327000 = 235311191303
BaseRepresentation
bin10000001110110…
…110000101011000
3200222102122102012
4100032312011120
51024203431000
643004525052
76514512161
oct2016660530
9628378365
10272327000
1112a7a3340
1277250788
134455c04a
142824c768
1518d94735
hex103b6158

272327000 has 128 divisors (see below), whose sum is σ = 732326400. Its totient is φ = 93744000.

The previous prime is 272326987. The next prime is 272327009. The reversal of 272327000 is 723272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272327009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208349 + ... + 209651.

It is an arithmetic number, because the mean of its divisors is an integer number (5721300).

Almost surely, 2272327000 is an apocalyptic number.

272327000 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 272327000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366163200).

272327000 is an abundant number, since it is smaller than the sum of its proper divisors (459999400).

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

272327000 is a wasteful number, since it uses less digits than its factorization.

272327000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 23.

The square root of 272327000 is about 16502.3331683735. Note that the first 3 decimals coincide. The cubic root of 272327000 is about 648.1819016335.

The spelling of 272327000 in words is "two hundred seventy-two million, three hundred twenty-seven thousand".

Divisors: 1 2 4 5 8 10 11 19 20 22 25 38 40 44 50 55 76 88 95 100 110 125 152 190 200 209 220 250 275 380 418 440 475 500 550 760 836 950 1000 1045 1100 1303 1375 1672 1900 2090 2200 2375 2606 2750 3800 4180 4750 5212 5225 5500 6515 8360 9500 10424 10450 11000 13030 14333 19000 20900 24757 26060 26125 28666 32575 41800 49514 52120 52250 57332 65150 71665 99028 104500 114664 123785 130300 143330 162875 198056 209000 247570 260600 272327 286660 325750 358325 495140 544654 573320 618925 651500 716650 990280 1089308 1237850 1303000 1361635 1433300 1791625 2178616 2475700 2723270 2866600 3094625 3583250 4951400 5446540 6189250 6808175 7166500 10893080 12378500 13616350 14333000 24757000 27232700 34040875 54465400 68081750 136163500 272327000