Search a number
-
+
5271271000 = 235331971753
BaseRepresentation
bin1001110100011000…
…10011011001011000
3111121100211022102021
410322030103121120
541243421133000
62231021344224
7244425031012
oct47214233130
914540738367
105271271000
112265549a16
121031408074
1366010b088
143801171b2
1520cb8d11a
hex13a313658

5271271000 has 128 divisors (see below), whose sum is σ = 12871272960. Its totient is φ = 2018304000.

The previous prime is 5271270959. The next prime is 5271271003. The reversal of 5271271000 is 1721725.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5271271003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3006124 + ... + 3007876.

It is an arithmetic number, because the mean of its divisors is an integer number (100556820).

Almost surely, 25271271000 is an apocalyptic number.

5271271000 is a gapful number since it is divisible by the number (50) 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 5271271000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6435636480).

5271271000 is an abundant number, since it is smaller than the sum of its proper divisors (7600001960).

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

5271271000 is a wasteful number, since it uses less digits than its factorization.

5271271000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1902 (or 1888 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 25.

The square root of 5271271000 is about 72603.5191984521. The cubic root of 5271271000 is about 1740.3574154579.

Adding to 5271271000 its reverse (1721725), we get a palindrome (5272992725).

The spelling of 5271271000 in words is "five billion, two hundred seventy-one million, two hundred seventy-one thousand".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 97 100 124 125 155 194 200 248 250 310 388 485 500 620 775 776 970 1000 1240 1550 1753 1940 2425 3007 3100 3506 3875 3880 4850 6014 6200 7012 7750 8765 9700 12028 12125 14024 15035 15500 17530 19400 24056 24250 30070 31000 35060 43825 48500 54343 60140 70120 75175 87650 97000 108686 120280 150350 170041 175300 217372 219125 271715 300700 340082 350600 375875 434744 438250 543430 601400 680164 751750 850205 876500 1086860 1358575 1360328 1503500 1700410 1753000 2173720 2717150 3007000 3400820 4251025 5271271 5434300 6792875 6801640 8502050 10542542 10868600 13585750 17004100 21085084 21255125 26356355 27171500 34008200 42170168 42510250 52712710 54343000 85020500 105425420 131781775 170041000 210850840 263563550 527127100 658908875 1054254200 1317817750 2635635500 5271271000