Search a number
-
+
4329220 = 2257172107
BaseRepresentation
bin10000100000111100000100
322010221120111
4100200330010
52102013340
6232442404
751540430
oct20407404
98127514
104329220
112497675
121549404
13b8768c
148099c0
155a7aea
hex420f04

4329220 has 72 divisors (see below), whose sum is σ = 11140416. Its totient is φ = 1383936.

The previous prime is 4329211. The next prime is 4329229. The reversal of 4329220 is 229234.

It is an interprime number because it is at equal distance from previous prime (4329211) and next prime (4329229).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 4329191 and 4329200.

It is not an unprimeable number, because it can be changed into a prime (4329229) 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 23 ways as a sum of consecutive naturals, for example, 40407 + ... + 40513.

It is an arithmetic number, because the mean of its divisors is an integer number (154728).

Almost surely, 24329220 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 4329220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5570208).

4329220 is an abundant number, since it is smaller than the sum of its proper divisors (6811196).

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

4329220 is a wasteful number, since it uses less digits than its factorization.

4329220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 4329220 is about 2080.6777741880. The cubic root of 4329220 is about 162.9808400830.

The spelling of 4329220 in words is "four million, three hundred twenty-nine thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 107 119 140 170 214 238 289 340 428 476 535 578 595 749 1070 1156 1190 1445 1498 1819 2023 2140 2380 2890 2996 3638 3745 4046 5780 7276 7490 8092 9095 10115 12733 14980 18190 20230 25466 30923 36380 40460 50932 61846 63665 123692 127330 154615 216461 254660 309230 432922 618460 865844 1082305 2164610 4329220