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4213280 = 255171549
BaseRepresentation
bin10000000100101000100000
321221001112102
4100010220200
52034311110
6230145532
750545421
oct20045040
97831472
104213280
112418555
1214b22a8
13b46986
147b9648
155835a5
hex404a20

4213280 has 48 divisors (see below), whose sum is σ = 10546200. Its totient is φ = 1585152.

The previous prime is 4213277. The next prime is 4213309. The reversal of 4213280 is 823124.

It can be written as a sum of positive squares in 4 ways, for example, as 3579664 + 633616 = 1892^2 + 796^2 .

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

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1946 + ... + 3494.

Almost surely, 24213280 is an apocalyptic number.

4213280 is a gapful number since it is divisible by the number (40) 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 4213280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5273100).

4213280 is an abundant number, since it is smaller than the sum of its proper divisors (6332920).

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

4213280 is a wasteful number, since it uses less digits than its factorization.

4213280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1581 (or 1573 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 4213280 is about 2052.6275843416. The cubic root of 4213280 is about 161.5127359463.

The spelling of 4213280 in words is "four million, two hundred thirteen thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 1549 2720 3098 6196 7745 12392 15490 24784 26333 30980 49568 52666 61960 105332 123920 131665 210664 247840 263330 421328 526660 842656 1053320 2106640 4213280