Search a number
-
+
271216050 = 23527436007
BaseRepresentation
bin10000001010100…
…110110110110010
3200220100012110220
4100022212312302
51023412403200
642525033510
76502204230
oct2012466662
9626305426
10271216050
1112a1046a6
12769b5896
1344260491
142803d950
1518c254a0
hex102a6db2

271216050 has 96 divisors (see below), whose sum is σ = 786711552. Its totient is φ = 60540480.

The previous prime is 271216039. The next prime is 271216061. The reversal of 271216050 is 50612172.

It is an interprime number because it is at equal distance from previous prime (271216039) and next prime (271216061).

It is a self number, because there is not a number n which added to its sum of digits gives 271216050.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42147 + ... + 48153.

It is an arithmetic number, because the mean of its divisors is an integer number (8194912).

Almost surely, 2271216050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 271216050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393355776).

271216050 is an abundant number, since it is smaller than the sum of its proper divisors (515495502).

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

271216050 is a wasteful number, since it uses less digits than its factorization.

271216050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6072 (or 6067 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 271216050 is about 16468.6383772308. The cubic root of 271216050 is about 647.2992873319.

The spelling of 271216050 in words is "two hundred seventy-one million, two hundred sixteen thousand, fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 43 50 70 75 86 105 129 150 175 210 215 258 301 350 430 525 602 645 903 1050 1075 1290 1505 1806 2150 3010 3225 4515 6007 6450 7525 9030 12014 15050 18021 22575 30035 36042 42049 45150 60070 84098 90105 126147 150175 180210 210245 252294 258301 300350 420490 450525 516602 630735 774903 901050 1051225 1261470 1291505 1549806 1808107 2102450 2583010 3153675 3616214 3874515 5424321 6307350 6457525 7749030 9040535 10848642 12915050 18081070 19372575 27121605 38745150 45202675 54243210 90405350 135608025 271216050