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271218740 = 225131497001
BaseRepresentation
bin10000001010100…
…111100000110100
3200220100100011112
4100022213200310
51023412444430
642525054152
76502215122
oct2012474064
9626310145
10271218740
1112a106721
12769b7358
1344261780
1428040912
1518c26195
hex102a7834

271218740 has 48 divisors (see below), whose sum is σ = 617576400. Its totient is φ = 99456000.

The previous prime is 271218707. The next prime is 271218743. The reversal of 271218740 is 47812172.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 67699984 + 203518756 = 8228^2 + 14266^2 .

It is a junction number, because it is equal to n+sod(n) for n = 271218697 and 271218706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (271218743) 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, 35240 + ... + 42240.

It is an arithmetic number, because the mean of its divisors is an integer number (12866175).

Almost surely, 2271218740 is an apocalyptic number.

271218740 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 271218740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308788200).

271218740 is an abundant number, since it is smaller than the sum of its proper divisors (346357660).

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

271218740 is a wasteful number, since it uses less digits than its factorization.

271218740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7172 (or 7170 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 32.

The square root of 271218740 is about 16468.7200474111. The cubic root of 271218740 is about 647.3014273593.

The spelling of 271218740 in words is "two hundred seventy-one million, two hundred eighteen thousand, seven hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 149 260 298 596 745 1490 1937 2980 3874 7001 7748 9685 14002 19370 28004 35005 38740 70010 91013 140020 182026 364052 455065 910130 1043149 1820260 2086298 4172596 5215745 10431490 13560937 20862980 27121874 54243748 67804685 135609370 271218740