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271909968 = 243111730293
BaseRepresentation
bin10000001101010…
…000010001010000
3200221122110100120
4100031100101100
51024102104333
642551550240
76511124301
oct2015202120
9627573316
10271909968
1112a538a90
127708b380
1344444295
14281807a8
1518d10db3
hex10350450

271909968 has 80 divisors (see below), whose sum is σ = 811394496. Its totient is φ = 77547520.

The previous prime is 271909961. The next prime is 271909997. The reversal of 271909968 is 869909172.

It is a happy number.

271909968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2719099682 = 147870061395522048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 271909968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (271909961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6171 + ... + 24122.

Almost surely, 2271909968 is an apocalyptic number.

It is an amenable number.

271909968 is an abundant number, since it is smaller than the sum of its proper divisors (539484528).

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

271909968 is a wasteful number, since it uses less digits than its factorization.

271909968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30332 (or 30326 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 51.

The square root of 271909968 is about 16489.6927806433. The cubic root of 271909968 is about 647.8508649329.

The spelling of 271909968 in words is "two hundred seventy-one million, nine hundred nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 44 48 51 66 68 88 102 132 136 176 187 204 264 272 374 408 528 561 748 816 1122 1496 2244 2992 4488 8976 30293 60586 90879 121172 181758 242344 333223 363516 484688 514981 666446 727032 999669 1029962 1332892 1454064 1544943 1999338 2059924 2665784 3089886 3998676 4119848 5331568 5664791 6179772 7997352 8239696 11329582 12359544 15994704 16994373 22659164 24719088 33988746 45318328 67977492 90636656 135954984 271909968