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4214320 = 245114789
BaseRepresentation
bin10000000100111000110000
321221002221221
4100010320300
52034324240
6230154424
750551435
oct20047060
97832857
104214320
112419310
1214b2a14
13b472a6
147b9b8c
15583a4a
hex404e30

4214320 has 40 divisors (see below), whose sum is σ = 10691280. Its totient is φ = 1532160.

The previous prime is 4214293. The next prime is 4214323. The reversal of 4214320 is 234124.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 4214294 and 4214303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4214323) 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 7 ways as a sum of consecutive naturals, for example, 1515 + ... + 3274.

It is an arithmetic number, because the mean of its divisors is an integer number (267282).

Almost surely, 24214320 is an apocalyptic number.

4214320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4214320 is an abundant number, since it is smaller than the sum of its proper divisors (6476960).

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

4214320 is a wasteful number, since it uses less digits than its factorization.

4214320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4813 (or 4807 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 4214320 is about 2052.8809025367. The cubic root of 4214320 is about 161.5260240439.

Adding to 4214320 its reverse (234124), we get a palindrome (4448444).

The spelling of 4214320 in words is "four million, two hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 4789 9578 19156 23945 38312 47890 52679 76624 95780 105358 191560 210716 263395 383120 421432 526790 842864 1053580 2107160 4214320