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271458140 = 22543833803
BaseRepresentation
bin10000001011100…
…001111101011100
3200220210111120012
4100023201331130
51023443130030
642534142352
76504233102
oct2013417534
9626714505
10271458140
1112a25a578
1276ab19b8
1344316725
14280a3c72
1518c72095
hex102e1f5c

271458140 has 48 divisors (see below), whose sum is σ = 590502528. Its totient is φ = 104752704.

The previous prime is 271458137. The next prime is 271458151. The reversal of 271458140 is 41854172.

It is a happy number.

271458140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 271458097 and 271458106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69479 + ... + 73281.

It is an arithmetic number, because the mean of its divisors is an integer number (12302136).

Almost surely, 2271458140 is an apocalyptic number.

271458140 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 271458140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295251264).

271458140 is an abundant number, since it is smaller than the sum of its proper divisors (319044388).

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

271458140 is a wasteful number, since it uses less digits than its factorization.

271458140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3938 (or 3936 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 32.

The square root of 271458140 is about 16475.9867686279. The cubic root of 271458140 is about 647.4918252025.

The spelling of 271458140 in words is "two hundred seventy-one million, four hundred fifty-eight thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 43 83 86 166 172 215 332 415 430 830 860 1660 3569 3803 7138 7606 14276 15212 17845 19015 35690 38030 71380 76060 163529 315649 327058 631298 654116 817645 1262596 1578245 1635290 3156490 3270580 6312980 13572907 27145814 54291628 67864535 135729070 271458140