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4122320 = 2452272
BaseRepresentation
bin1111101110011011010000
321202102202112
433232123100
52023403240
6224204452
750016266
oct17563320
97672675
104122320
112366184
121469728
13b14457
14794436
15566665
hex3ee6d0

4122320 has 30 divisors (see below), whose sum is σ = 9626802. Its totient is φ = 1641664.

The previous prime is 4122317. The next prime is 4122329. The reversal of 4122320 is 232214.

4122320 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in only one way, i.e., 3297856 + 824464 = 1816^2 + 908^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4122295 and 4122304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4122329) 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 5 ways as a sum of consecutive naturals, for example, 18047 + ... + 18273.

Almost surely, 24122320 is an apocalyptic number.

4122320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4122320 is an abundant number, since it is smaller than the sum of its proper divisors (5504482).

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

4122320 is an equidigital number, since it uses as much as digits as its factorization.

4122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 4122320 is about 2030.3497235698. The cubic root of 4122320 is about 160.3419768864.

Adding to 4122320 its reverse (232214), we get a palindrome (4354534).

The spelling of 4122320 in words is "four million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 227 454 908 1135 1816 2270 3632 4540 9080 18160 51529 103058 206116 257645 412232 515290 824464 1030580 2061160 4122320