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20822928 = 2437292137
BaseRepresentation
bin100111101101…
…1101110010000
31110011220200120
41033123232100
520312313203
62022150240
7341664150
oct117335620
943156616
1020822928
1110832635
126b82380
134410b79
142aa0760
151c64b53
hex13dbb90

20822928 has 80 divisors (see below), whose sum is σ = 63626880. Its totient is φ = 5741568.

The previous prime is 20822887. The next prime is 20822933. The reversal of 20822928 is 82922802.

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, 8676 + ... + 10812.

It is an arithmetic number, because the mean of its divisors is an integer number (795336).

Almost surely, 220822928 is an apocalyptic number.

20822928 is a gapful number since it is divisible by the number (28) 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 20822928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31813440).

20822928 is an abundant number, since it is smaller than the sum of its proper divisors (42803952).

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

20822928 is a wasteful number, since it uses less digits than its factorization.

20822928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2184 (or 2178 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 20822928 is about 4563.2146563579. The cubic root of 20822928 is about 275.1147862408.

The spelling of 20822928 in words is "twenty million, eight hundred twenty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 56 58 84 87 112 116 168 174 203 232 336 348 406 464 609 696 812 1218 1392 1624 2137 2436 3248 4274 4872 6411 8548 9744 12822 14959 17096 25644 29918 34192 44877 51288 59836 61973 89754 102576 119672 123946 179508 185919 239344 247892 359016 371838 433811 495784 718032 743676 867622 991568 1301433 1487352 1735244 2602866 2974704 3470488 5205732 6940976 10411464 20822928