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270681450 = 2352131271093
BaseRepresentation
bin10000001000100…
…100010101101010
3200212100001010220
4100020210111222
51023243301300
642505350510
76464516514
oct2010442552
9625301126
10270681450
11129879a86
1276798436
1344104050
1427d40bb4
1518b6bda0
hex1022456a

270681450 has 96 divisors (see below), whose sum is σ = 729286656. Its totient is φ = 66044160.

The previous prime is 270681419. The next prime is 270681451. The reversal of 270681450 is 54186072.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (270681451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 247104 + ... + 248196.

It is an arithmetic number, because the mean of its divisors is an integer number (7596736).

Almost surely, 2270681450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 270681450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364643328).

270681450 is an abundant number, since it is smaller than the sum of its proper divisors (458605206).

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

270681450 is a wasteful number, since it uses less digits than its factorization.

270681450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248 (or 1243 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 270681450 is about 16452.3995210425. The cubic root of 270681450 is about 646.8737055681.

The spelling of 270681450 in words is "two hundred seventy million, six hundred eighty-one thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 75 78 127 130 150 195 254 325 381 390 635 650 762 975 1093 1270 1651 1905 1950 2186 3175 3279 3302 3810 4953 5465 6350 6558 8255 9525 9906 10930 14209 16395 16510 19050 24765 27325 28418 32790 41275 42627 49530 54650 71045 81975 82550 85254 123825 138811 142090 163950 213135 247650 277622 355225 416433 426270 694055 710450 832866 1065675 1388110 1804543 2082165 2131350 3470275 3609086 4164330 5413629 6940550 9022715 10410825 10827258 18045430 20821650 27068145 45113575 54136290 90227150 135340725 270681450