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4244020 = 22511101191
BaseRepresentation
bin10000001100001000110100
321222121200221
4100030020310
52041302040
6230544124
751034144
oct20141064
97877627
104244020
112439660
121508044
13b57971
147c6924
1558c74a
hex40c234

4244020 has 48 divisors (see below), whose sum is σ = 9870336. Its totient is φ = 1520000.

The previous prime is 4244017. The next prime is 4244021. The reversal of 4244020 is 204424.

It is a junction number, because it is equal to n+sod(n) for n = 4243985 and 4244003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4244021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22125 + ... + 22315.

It is an arithmetic number, because the mean of its divisors is an integer number (205632).

Almost surely, 24244020 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 4244020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4935168).

4244020 is an abundant number, since it is smaller than the sum of its proper divisors (5626316).

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

4244020 is a wasteful number, since it uses less digits than its factorization.

4244020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 4244020 is about 2060.1019392253. The cubic root of 4244020 is about 161.9045823308.

Adding to 4244020 its reverse (204424), we get a palindrome (4448444).

It can be divided in two parts, 424 and 4020, that added together give a palindrome (4444).

The spelling of 4244020 in words is "four million, two hundred forty-four thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 191 202 220 382 404 505 764 955 1010 1111 1910 2020 2101 2222 3820 4202 4444 5555 8404 10505 11110 19291 21010 22220 38582 42020 77164 96455 192910 212201 385820 424402 848804 1061005 2122010 4244020