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4004220 = 2235116067
BaseRepresentation
bin1111010001100101111100
321112102202110
433101211330
52011113340
6221454020
746015053
oct17214574
97472673
104004220
112295480
121411310
13aa277c
1476339a
15541680
hex3d197c

4004220 has 48 divisors (see below), whose sum is σ = 12233088. Its totient is φ = 970560.

The previous prime is 4004219. The next prime is 4004227. The reversal of 4004220 is 224004.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 4004196 and 4004205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2374 + ... + 3693.

It is an arithmetic number, because the mean of its divisors is an integer number (254856).

Almost surely, 24004220 is an apocalyptic number.

It is an amenable number.

4004220 is an abundant number, since it is smaller than the sum of its proper divisors (8228868).

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

4004220 is a wasteful number, since it uses less digits than its factorization.

4004220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6090 (or 6088 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 4004220 is about 2001.0547218904. The cubic root of 4004220 is about 158.7959091807.

Adding to 4004220 its reverse (224004), we get a palindrome (4228224).

It can be divided in two parts, 4004 and 220, that added together give a palindrome (4224).

The spelling of 4004220 in words is "four million, four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 6067 12134 18201 24268 30335 36402 60670 66737 72804 91005 121340 133474 182010 200211 266948 333685 364020 400422 667370 800844 1001055 1334740 2002110 4004220