Search a number
-
+
275209000 = 235311127197
BaseRepresentation
bin10000011001110…
…101101100101000
3201011212001202221
4100121311230220
51030423142000
643150403424
76551144413
oct2031655450
9634761687
10275209000
11131391660
1278200574
134502aa81
142879cb7a
151926361a
hex10675b28

275209000 has 128 divisors (see below), whose sum is σ = 711659520. Its totient is φ = 98784000.

The previous prime is 275208991. The next prime is 275209013. The reversal of 275209000 is 902572.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 1396902 + ... + 1397098.

It is an arithmetic number, because the mean of its divisors is an integer number (5559840).

Almost surely, 2275209000 is an apocalyptic number.

275209000 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 275209000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355829760).

275209000 is an abundant number, since it is smaller than the sum of its proper divisors (436450520).

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

275209000 is a wasteful number, since it uses less digits than its factorization.

275209000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 275209000 is about 16589.4243420319. The cubic root of 275209000 is about 650.4604232920.

The spelling of 275209000 in words is "two hundred seventy-five million, two hundred nine thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 127 197 200 220 250 254 275 394 440 500 508 550 635 788 985 1000 1016 1100 1270 1375 1397 1576 1970 2167 2200 2540 2750 2794 3175 3940 4334 4925 5080 5500 5588 6350 6985 7880 8668 9850 10835 11000 11176 12700 13970 15875 17336 19700 21670 24625 25019 25400 27940 31750 34925 39400 43340 49250 50038 54175 55880 63500 69850 86680 98500 100076 108350 125095 127000 139700 174625 197000 200152 216700 250190 270875 275209 279400 349250 433400 500380 541750 550418 625475 698500 1000760 1083500 1100836 1250950 1376045 1397000 2167000 2201672 2501900 2752090 3127375 5003800 5504180 6254750 6880225 11008360 12509500 13760450 25019000 27520900 34401125 55041800 68802250 137604500 275209000