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271000268 = 227111946309
BaseRepresentation
bin10000001001110…
…010001011001100
3200212221020110222
4100021302023030
51023334002033
642520250512
76500315150
oct2011621314
9625836428
10271000268
11129a77570
1276910a38
13441b61b6
1427dc5060
1518bd1598
hex102722cc

271000268 has 48 divisors (see below), whose sum is σ = 622406400. Its totient is φ = 100025280.

The previous prime is 271000267. The next prime is 271000277. The reversal of 271000268 is 862000172.

It is a super-2 number, since 2×2710002682 = 146882290512143648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (271000267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17303 + ... + 29006.

It is an arithmetic number, because the mean of its divisors is an integer number (12966800).

Almost surely, 2271000268 is an apocalyptic number.

271000268 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

271000268 is an abundant number, since it is smaller than the sum of its proper divisors (351406132).

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

271000268 is a wasteful number, since it uses less digits than its factorization.

271000268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46350 (or 46348 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 271000268 is about 16462.0857730726. The cubic root of 271000268 is about 647.1275760172.

The spelling of 271000268 in words is "two hundred seventy-one million, two hundred sixty-eight", and thus it is an aban number.

Divisors: 1 2 4 7 11 14 19 22 28 38 44 76 77 133 154 209 266 308 418 532 836 1463 2926 5852 46309 92618 185236 324163 509399 648326 879871 1018798 1296652 1759742 2037596 3519484 3565793 6159097 7131586 9678581 12318194 14263172 19357162 24636388 38714324 67750067 135500134 271000268