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20904320 = 27589367
BaseRepresentation
bin100111110111…
…1100110000000
31110100001100002
41033233212000
520322414240
62024015132
7342453353
oct117574600
943301302
1020904320
11108887a8
1270014a8
13443bc28
142ac229a
151c7dd15
hex13ef980

20904320 has 64 divisors (see below), whose sum is σ = 50673600. Its totient is φ = 8245248.

The previous prime is 20904319. The next prime is 20904337. The reversal of 20904320 is 2340902.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 20904292 and 20904301.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 56777 + ... + 57143.

It is an arithmetic number, because the mean of its divisors is an integer number (791775).

Almost surely, 220904320 is an apocalyptic number.

20904320 is a gapful number since it is divisible by the number (20) 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 20904320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25336800).

20904320 is an abundant number, since it is smaller than the sum of its proper divisors (29769280).

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

20904320 is an equidigital number, since it uses as much as digits as its factorization.

20904320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 20904320 is about 4572.1242327828. The cubic root of 20904320 is about 275.4727735300.

The spelling of 20904320 in words is "twenty million, nine hundred four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 89 128 160 178 320 356 367 445 640 712 734 890 1424 1468 1780 1835 2848 2936 3560 3670 5696 5872 7120 7340 11392 11744 14240 14680 23488 28480 29360 32663 46976 56960 58720 65326 117440 130652 163315 234880 261304 326630 522608 653260 1045216 1306520 2090432 2613040 4180864 5226080 10452160 20904320