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4211280 = 243255849
BaseRepresentation
bin10000000100001001010000
321220221210100
4100010021100
52034230110
6230132400
750536533
oct20041120
97827710
104211280
112416aa7
1214b1100
13b45aa8
147b8a1a
15582bc0
hex404250

4211280 has 60 divisors (see below), whose sum is σ = 14145300. Its totient is φ = 1122816.

The previous prime is 4211279. The next prime is 4211281. The reversal of 4211280 is 821124.

It is an interprime number because it is at equal distance from previous prime (4211279) and next prime (4211281).

It can be written as a sum of positive squares in 2 ways, for example, as 1468944 + 2742336 = 1212^2 + 1656^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4211281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2205 + ... + 3644.

It is an arithmetic number, because the mean of its divisors is an integer number (235755).

Almost surely, 24211280 is an apocalyptic number.

4211280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4211280 is an abundant number, since it is smaller than the sum of its proper divisors (9934020).

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

4211280 is a wasteful number, since it uses less digits than its factorization.

4211280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5868 (or 5859 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 4211280 is about 2052.1403460777. The cubic root of 4211280 is about 161.4871757654.

The spelling of 4211280 in words is "four million, two hundred eleven thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 5849 11698 17547 23396 29245 35094 46792 52641 58490 70188 87735 93584 105282 116980 140376 175470 210564 233960 263205 280752 350940 421128 467920 526410 701880 842256 1052820 1403760 2105640 4211280