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20168544 = 2531171269
BaseRepresentation
bin100110011101…
…1111101100000
31101221200001010
41030323331200
520130343134
62000140520
7333300264
oct114737540
941850033
1020168544
1110425a20
126907740
134242066
1429700a4
151b85ce9
hex133bf60

20168544 has 96 divisors (see below), whose sum is σ = 58786560. Its totient is φ = 6003200.

The previous prime is 20168527. The next prime is 20168573. The reversal of 20168544 is 44586102.

It is a tau number, because it is divible by the number of its divisors (96).

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, 74842 + ... + 75110.

It is an arithmetic number, because the mean of its divisors is an integer number (612360).

Almost surely, 220168544 is an apocalyptic number.

20168544 is a gapful number since it is divisible by the number (24) 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 20168544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29393280).

20168544 is an abundant number, since it is smaller than the sum of its proper divisors (38618016).

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

20168544 is a wasteful number, since it uses less digits than its factorization.

20168544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 356 counting only the distinct ones).

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

The square root of 20168544 is about 4490.9402133629. The cubic root of 20168544 is about 272.2021277283.

The spelling of 20168544 in words is "twenty million, one hundred sixty-eight thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 71 88 96 132 142 176 213 264 269 284 352 426 528 538 568 781 807 852 1056 1076 1136 1562 1614 1704 2152 2272 2343 2959 3124 3228 3408 4304 4686 5918 6248 6456 6816 8608 8877 9372 11836 12496 12912 17754 18744 19099 23672 24992 25824 35508 37488 38198 47344 57297 71016 74976 76396 94688 114594 142032 152792 210089 229188 284064 305584 420178 458376 611168 630267 840356 916752 1260534 1680712 1833504 2521068 3361424 5042136 6722848 10084272 20168544