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4214820 = 2235199353
BaseRepresentation
bin10000000101000000100100
321221010122110
4100011000210
52034333240
6230201020
750553051
oct20050044
97833573
104214820
112419725
1214b3170
13b4759c
147ba028
15583c80
hex405024

4214820 has 48 divisors (see below), whose sum is σ = 11894400. Its totient is φ = 1115136.

The previous prime is 4214807. The next prime is 4214851. The reversal of 4214820 is 284124.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11764 + ... + 12116.

It is an arithmetic number, because the mean of its divisors is an integer number (247800).

Almost surely, 24214820 is an apocalyptic number.

It is an amenable number.

4214820 is an abundant number, since it is smaller than the sum of its proper divisors (7679580).

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

4214820 is a wasteful number, since it uses less digits than its factorization.

4214820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 4214820 is about 2053.0026790046. The cubic root of 4214820 is about 161.5324117741.

Adding to 4214820 its reverse (284124), we get a palindrome (4498944).

The spelling of 4214820 in words is "four million, two hundred fourteen thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 199 353 398 597 706 796 995 1059 1194 1412 1765 1990 2118 2388 2985 3530 3980 4236 5295 5970 7060 10590 11940 21180 70247 140494 210741 280988 351235 421482 702470 842964 1053705 1404940 2107410 4214820