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4440420 = 223452741
BaseRepresentation
bin10000111100000101100100
322100121010000
4100330011210
52114043140
6235101300
752512555
oct20740544
98317100
104440420
112563176
1215a1830
13bc618a
1483832c
155caa30
hex43c164

4440420 has 60 divisors (see below), whose sum is σ = 13934844. Its totient is φ = 1183680.

The previous prime is 4440413. The next prime is 4440421. The reversal of 4440420 is 240444.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1454436 + 2985984 = 1206^2 + 1728^2 .

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 junction number, because it is equal to n+sod(n) for n = 4440393 and 4440402.

It is not an unprimeable number, because it can be changed into a prime (4440421) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 250 + ... + 2990.

Almost surely, 24440420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4440420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6967422).

4440420 is an abundant number, since it is smaller than the sum of its proper divisors (9494424).

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

4440420 is a wasteful number, since it uses less digits than its factorization.

4440420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2762 (or 2751 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 4440420 is about 2107.2304098034. The cubic root of 4440420 is about 164.3644976351.

Adding to 4440420 its reverse (240444), we get a palindrome (4680864).

The spelling of 4440420 in words is "four million, four hundred forty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 2741 5482 8223 10964 13705 16446 24669 27410 32892 41115 49338 54820 74007 82230 98676 123345 148014 164460 222021 246690 296028 370035 444042 493380 740070 888084 1110105 1480140 2220210 4440420