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20854416 = 24311127311
BaseRepresentation
bin100111110001…
…1011010010000
31110020111212210
41033203122100
520314320131
62022552120
7342155022
oct117433220
943214783
1020854416
1110854260
126b98640
1344222bb
142aac012
151c6e146
hex13e3690

20854416 has 80 divisors (see below), whose sum is σ = 59424768. Its totient is φ = 6249600.

The previous prime is 20854411. The next prime is 20854429. The reversal of 20854416 is 61445802.

It is a zygodrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (20854411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66901 + ... + 67211.

Almost surely, 220854416 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 20854416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29712384).

20854416 is an abundant number, since it is smaller than the sum of its proper divisors (38570352).

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

20854416 is a wasteful number, since it uses less digits than its factorization.

20854416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 20854416 is about 4566.6635523104. The cubic root of 20854416 is about 275.2533906913.

The spelling of 20854416 in words is "twenty million, eight hundred fifty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 127 132 176 254 264 311 381 508 528 622 762 933 1016 1244 1397 1524 1866 2032 2488 2794 3048 3421 3732 4191 4976 5588 6096 6842 7464 8382 10263 11176 13684 14928 16764 20526 22352 27368 33528 39497 41052 54736 67056 78994 82104 118491 157988 164208 236982 315976 434467 473964 631952 868934 947928 1303401 1737868 1895856 2606802 3475736 5213604 6951472 10427208 20854416