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4283120 = 245371447
BaseRepresentation
bin10000010101101011110000
322001121100002
4100111223300
52044024440
6231445132
751256142
oct20255360
98047302
104283120
112465a76
1215267a8
13b6c6ba
147d6c92
15599115
hex415af0

4283120 has 40 divisors (see below), whose sum is σ = 10234464. Its totient is φ = 1665792.

The previous prime is 4283087. The next prime is 4283131. The reversal of 4283120 is 213824.

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a junction number, because it is equal to n+sod(n) for n = 4283092 and 4283101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2237 + ... + 3683.

Almost surely, 24283120 is an apocalyptic number.

4283120 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 4283120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5117232).

4283120 is an abundant number, since it is smaller than the sum of its proper divisors (5951344).

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

4283120 is a wasteful number, since it uses less digits than its factorization.

4283120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1497 (or 1491 counting only the distinct ones).

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

The square root of 4283120 is about 2069.5700036481. The cubic root of 4283120 is about 162.4002701671.

Adding to 4283120 its reverse (213824), we get a palindrome (4496944).

The spelling of 4283120 in words is "four million, two hundred eighty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1447 1480 2894 2960 5788 7235 11576 14470 23152 28940 53539 57880 107078 115760 214156 267695 428312 535390 856624 1070780 2141560 4283120