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20819472 = 2434171149
BaseRepresentation
bin100111101101…
…0111000010000
31110011201221120
41033122320100
520312210342
62022122240
7341651112
oct117327020
943151846
1020819472
111082aa83
126b80380
13440c41b
142a9d3b2
151c63aec
hex13dae10

20819472 has 80 divisors (see below), whose sum is σ = 56246400. Its totient is φ = 6630400.

The previous prime is 20819467. The next prime is 20819521. The reversal of 20819472 is 27491802.

It is a happy number.

It is a congruent number.

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, 139654 + ... + 139802.

It is an arithmetic number, because the mean of its divisors is an integer number (703080).

Almost surely, 220819472 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 20819472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28123200).

20819472 is an abundant number, since it is smaller than the sum of its proper divisors (35426928).

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

20819472 is a wasteful number, since it uses less digits than its factorization.

20819472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 20819472 is about 4562.8359602335. The cubic root of 20819472 is about 275.0995650496.

The spelling of 20819472 in words is "twenty million, eight hundred nineteen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 71 82 123 142 149 164 213 246 284 298 328 426 447 492 568 596 656 852 894 984 1136 1192 1704 1788 1968 2384 2911 3408 3576 5822 6109 7152 8733 10579 11644 12218 17466 18327 21158 23288 24436 31737 34932 36654 42316 46576 48872 63474 69864 73308 84632 97744 126948 139728 146616 169264 253896 293232 433739 507792 867478 1301217 1734956 2602434 3469912 5204868 6939824 10409736 20819472