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20722384 = 2431411019
BaseRepresentation
bin100111100001…
…1001011010000
31102222210202201
41033003023100
520301104014
62020052544
7341065054
oct117031320
942883681
1020722384
1110774041
126b34154
1343a7187
142a75c64
151c44e74
hex13c32d0

20722384 has 40 divisors (see below), whose sum is σ = 42497280. Its totient is φ = 9772800.

The previous prime is 20722381. The next prime is 20722397. The reversal of 20722384 is 48322702.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20722381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19827 + ... + 20845.

It is an arithmetic number, because the mean of its divisors is an integer number (1062432).

Almost surely, 220722384 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 20722384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21248640).

20722384 is an abundant number, since it is smaller than the sum of its proper divisors (21774896).

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

20722384 is a wasteful number, since it uses less digits than its factorization.

20722384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 20722384 is about 4552.1845305304. The cubic root of 20722384 is about 274.6712722178.

The spelling of 20722384 in words is "twenty million, seven hundred twenty-two thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 31 41 62 82 124 164 248 328 496 656 1019 1271 2038 2542 4076 5084 8152 10168 16304 20336 31589 41779 63178 83558 126356 167116 252712 334232 505424 668464 1295149 2590298 5180596 10361192 20722384