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4640220 = 2233513661
BaseRepresentation
bin10001101100110111011100
322201202012000
4101230313130
52141441340
6243242300
754304224
oct21546734
98652160
104640220
11268a2a2
121679390
13c660c0
1488b084
15619d30
hex46cddc

4640220 has 96 divisors (see below), whose sum is σ = 15570240. Its totient is φ = 1140480.

The previous prime is 4640213. The next prime is 4640221. The reversal of 4640220 is 220464.

4640220 is a `hidden beast` number, since 4 + 640 + 2 + 20 = 666.

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 = 4640193 and 4640202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4640221) 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 31 ways as a sum of consecutive naturals, for example, 6690 + ... + 7350.

It is an arithmetic number, because the mean of its divisors is an integer number (162190).

Almost surely, 24640220 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 4640220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7785120).

4640220 is an abundant number, since it is smaller than the sum of its proper divisors (10930020).

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

4640220 is a wasteful number, since it uses less digits than its factorization.

4640220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4640220 is about 2154.1169884665. The cubic root of 4640220 is about 166.7936543313.

Adding to 4640220 its reverse (220464), we get a palindrome (4860684).

The spelling of 4640220 in words is "four million, six hundred forty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 661 702 780 1170 1322 1404 1755 1983 2340 2644 3305 3510 3966 5949 6610 7020 7932 8593 9915 11898 13220 17186 17847 19830 23796 25779 29745 34372 35694 39660 42965 51558 59490 71388 77337 85930 89235 103116 118980 128895 154674 171860 178470 232011 257790 309348 356940 386685 464022 515580 773370 928044 1160055 1546740 2320110 4640220