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271318640 = 24517199499
BaseRepresentation
bin10000001010111…
…111111001110000
3200220112102012112
4100022333321300
51023424144030
642531144452
76503112305
oct2012777160
9626472175
10271318640
1112a17478a
1276a45128
1344298098
14280690ac
1518c45a95
hex102bfe70

271318640 has 40 divisors (see below), whose sum is σ = 667926000. Its totient is φ = 102142976.

The previous prime is 271318637. The next prime is 271318643. The reversal of 271318640 is 46813172.

It is an interprime number because it is at equal distance from previous prime (271318637) and next prime (271318643).

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×2713186402 = 147227608822899200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 271318597 and 271318606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (271318643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98390 + ... + 101109.

It is an arithmetic number, because the mean of its divisors is an integer number (16698150).

Almost surely, 2271318640 is an apocalyptic number.

271318640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

271318640 is an abundant number, since it is smaller than the sum of its proper divisors (396607360).

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

271318640 is a wasteful number, since it uses less digits than its factorization.

271318640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199529 (or 199523 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 271318640 is about 16471.7527907627. The cubic root of 271318640 is about 647.3808927073.

The spelling of 271318640 in words is "two hundred seventy-one million, three hundred eighteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 199499 398998 797996 997495 1595992 1994990 3191984 3391483 3989980 6782966 7979960 13565932 15959920 16957415 27131864 33914830 54263728 67829660 135659320 271318640