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271376540 = 225234114389
BaseRepresentation
bin10000001011001…
…110000010011100
3200220122100121222
4100023032002130
51023433022130
642532312512
76503443151
oct2013160234
9626570558
10271376540
1112a204236
1276a72738
13442b8546
1428082228
1518c57ce5
hex102ce09c

271376540 has 48 divisors (see below), whose sum is σ = 609215040. Its totient is φ = 101291520.

The previous prime is 271376533. The next prime is 271376561. The reversal of 271376540 is 45673172.

It is a self number, because there is not a number n which added to its sum of digits gives 271376540.

It is a congruent number.

It is an unprimeable number.

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, 11666 + ... + 26054.

It is an arithmetic number, because the mean of its divisors is an integer number (12691980).

Almost surely, 2271376540 is an apocalyptic number.

271376540 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 271376540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304607520).

271376540 is an abundant number, since it is smaller than the sum of its proper divisors (337838500).

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

271376540 is a wasteful number, since it uses less digits than its factorization.

271376540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14462 (or 14460 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 35.

The square root of 271376540 is about 16473.5102513095. The cubic root of 271376540 is about 647.4269402717.

The spelling of 271376540 in words is "two hundred seventy-one million, three hundred seventy-six thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 23 41 46 82 92 115 164 205 230 410 460 820 943 1886 3772 4715 9430 14389 18860 28778 57556 71945 143890 287780 330947 589949 661894 1179898 1323788 1654735 2359796 2949745 3309470 5899490 6618940 11798980 13568827 27137654 54275308 67844135 135688270 271376540