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20467216 = 2471137449
BaseRepresentation
bin100111000010…
…0111000010000
31102111211202001
41032010320100
520214422331
62010403344
7335653120
oct116047020
942454661
1020467216
111060a360
126a30554
134317ca3
142a0ac80
151be4561
hex1384e10

20467216 has 80 divisors (see below), whose sum is σ = 50889600. Its totient is φ = 7741440.

The previous prime is 20467189. The next prime is 20467247. The reversal of 20467216 is 61276402.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45360 + ... + 45808.

It is an arithmetic number, because the mean of its divisors is an integer number (636120).

Almost surely, 220467216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20467216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25444800).

20467216 is an abundant number, since it is smaller than the sum of its proper divisors (30422384).

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

20467216 is a wasteful number, since it uses less digits than its factorization.

20467216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 20467216 is about 4524.0707333109. The cubic root of 20467216 is about 273.5392116698.

The spelling of 20467216 in words is "twenty million, four hundred sixty-seven thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 28 37 44 56 74 77 88 112 148 154 176 259 296 308 407 449 518 592 616 814 898 1036 1232 1628 1796 2072 2849 3143 3256 3592 4144 4939 5698 6286 6512 7184 9878 11396 12572 16613 19756 22792 25144 33226 34573 39512 45584 50288 66452 69146 79024 116291 132904 138292 182743 232582 265808 276584 365486 465164 553168 730972 930328 1279201 1461944 1860656 2558402 2923888 5116804 10233608 20467216