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20783104 = 2134359
BaseRepresentation
bin100111101001…
…0000000000000
31110002220001121
41033102000000
520310024404
62021242024
7341440066
oct117220000
943086047
1020783104
1110805721
126b63314
1343c89c4
142a90036
151c57e54
hex13d2000

20783104 has 56 divisors (see below), whose sum is σ = 43251120. Its totient is φ = 9977856.

The previous prime is 20783089. The next prime is 20783137. The reversal of 20783104 is 40138702.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 352227 + ... + 352285.

Almost surely, 220783104 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 20783104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21625560).

20783104 is an abundant number, since it is smaller than the sum of its proper divisors (22468016).

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

20783104 is an frugal number, since it uses more digits than its factorization.

20783104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 20783104 is about 4558.8489775381. The cubic root of 20783104 is about 274.9392879749.

The spelling of 20783104 in words is "twenty million, seven hundred eighty-three thousand, one hundred four".

Divisors: 1 2 4 8 16 32 43 59 64 86 118 128 172 236 256 344 472 512 688 944 1024 1376 1888 2048 2537 2752 3776 4096 5074 5504 7552 8192 10148 11008 15104 20296 22016 30208 40592 44032 60416 81184 88064 120832 162368 176128 241664 324736 352256 483328 649472 1298944 2597888 5195776 10391552 20783104