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4182420 = 2235116337
BaseRepresentation
bin1111111101000110010100
321212111012110
433331012110
52032314140
6225351020
750356434
oct17750624
97774173
104182420
1123a7350
121498470
13b35908
147ac2c4
15579380
hex3fd194

4182420 has 48 divisors (see below), whose sum is σ = 12777408. Its totient is φ = 1013760.

The previous prime is 4182419. The next prime is 4182421. The reversal of 4182420 is 242814.

4182420 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4182419) and next prime (4182421).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4182421) 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, 2509 + ... + 3828.

It is an arithmetic number, because the mean of its divisors is an integer number (266196).

Almost surely, 24182420 is an apocalyptic number.

It is an amenable number.

4182420 is an abundant number, since it is smaller than the sum of its proper divisors (8594988).

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

4182420 is a wasteful number, since it uses less digits than its factorization.

4182420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6360 (or 6358 counting only the distinct ones).

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

The square root of 4182420 is about 2045.0965747368. The cubic root of 4182420 is about 161.1174380745.

The spelling of 4182420 in words is "four million, one hundred eighty-two thousand, four 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 6337 12674 19011 25348 31685 38022 63370 69707 76044 95055 126740 139414 190110 209121 278828 348535 380220 418242 697070 836484 1045605 1394140 2091210 4182420