Search a number
-
+
4471220 = 2251329593
BaseRepresentation
bin10001000011100110110100
322102011100202
4101003212310
52121034340
6235500032
753001425
oct21034664
98364322
104471220
112584326
1215b7618
13c071c0
1484564c
155d4c15
hex4439b4

4471220 has 48 divisors (see below), whose sum is σ = 10478160. Its totient is φ = 1591296.

The previous prime is 4471217. The next prime is 4471237. The reversal of 4471220 is 221744.

4471220 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 169744 + 4301476 = 412^2 + 2074^2 .

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 = 4471192 and 4471201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7244 + ... + 7836.

It is an arithmetic number, because the mean of its divisors is an integer number (218295).

Almost surely, 24471220 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 4471220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5239080).

4471220 is an abundant number, since it is smaller than the sum of its proper divisors (6006940).

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

4471220 is a wasteful number, since it uses less digits than its factorization.

4471220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 20.

The square root of 4471220 is about 2114.5259516024. The cubic root of 4471220 is about 164.7436484526.

Adding to 4471220 its reverse (221744), we get a palindrome (4692964).

The spelling of 4471220 in words is "four million, four hundred seventy-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 29 52 58 65 116 130 145 260 290 377 580 593 754 1186 1508 1885 2372 2965 3770 5930 7540 7709 11860 15418 17197 30836 34394 38545 68788 77090 85985 154180 171970 223561 343940 447122 894244 1117805 2235610 4471220