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275201300 = 225211298627
BaseRepresentation
bin10000011001110…
…011110100010100
3201011211200012202
4100121303310110
51030422420200
643150304032
76551113103
oct2031636424
9634750182
10275201300
111313868a0
12781b8018
134502740a
142879a03a
15192611d5
hex10673d14

275201300 has 72 divisors (see below), whose sum is σ = 674019360. Its totient is φ = 96611200.

The previous prime is 275201293. The next prime is 275201323. The reversal of 275201300 is 3102572.

275201300 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

275201300 is strictly pandigital in base 9.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 27587 + ... + 36213.

It is an arithmetic number, because the mean of its divisors is an integer number (9361380).

Almost surely, 2275201300 is an apocalyptic number.

275201300 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 275201300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337009680).

275201300 is an abundant number, since it is smaller than the sum of its proper divisors (398818060).

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

275201300 is a wasteful number, since it uses less digits than its factorization.

275201300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8681 (or 8674 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 275201300 is about 16589.1922648452. The cubic root of 275201300 is about 650.4543568819.

Adding to 275201300 its reverse (3102572), we get a palindrome (278303872).

The spelling of 275201300 in words is "two hundred seventy-five million, two hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 29 44 50 55 58 100 110 116 145 220 275 290 319 550 580 638 725 1100 1276 1450 1595 2900 3190 6380 7975 8627 15950 17254 31900 34508 43135 86270 94897 172540 189794 215675 250183 379588 431350 474485 500366 862700 948970 1000732 1250915 1897940 2372425 2501830 2752013 4744850 5003660 5504026 6254575 9489700 11008052 12509150 13760065 25018300 27520130 55040260 68800325 137600650 275201300