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4668320 = 255163179
BaseRepresentation
bin10001110011101110100000
322210011201202
4101303232200
52143341240
6244020332
754452156
oct21635640
98704652
104668320
1126a9418
1216916a8
13c75b27
148973d6
15623315
hex473ba0

4668320 has 48 divisors (see below), whose sum is σ = 11158560. Its totient is φ = 1845504.

The previous prime is 4668299. The next prime is 4668331. The reversal of 4668320 is 238664.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25991 + ... + 26169.

It is an arithmetic number, because the mean of its divisors is an integer number (232470).

Almost surely, 24668320 is an apocalyptic number.

4668320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4668320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5579280).

4668320 is an abundant number, since it is smaller than the sum of its proper divisors (6490240).

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

4668320 is a wasteful number, since it uses less digits than its factorization.

4668320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 4668320 is about 2160.6295378894. The cubic root of 4668320 is about 167.1296637225.

The spelling of 4668320 in words is "four million, six hundred sixty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 163 179 326 358 652 716 815 895 1304 1432 1630 1790 2608 2864 3260 3580 5216 5728 6520 7160 13040 14320 26080 28640 29177 58354 116708 145885 233416 291770 466832 583540 933664 1167080 2334160 4668320