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20102144 = 21067293
BaseRepresentation
bin100110010101…
…1110000000000
31101211021221212
41030223300000
520121232034
61554505252
7332602556
oct114536000
941737855
1020102144
1110390047
126895228
13421aa7a
142953bd6
151b712ce
hex132bc00

20102144 has 44 divisors (see below), whose sum is σ = 40923624. Its totient is φ = 9867264.

The previous prime is 20102129. The next prime is 20102153. The reversal of 20102144 is 44120102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 68462 + ... + 68754.

Almost surely, 220102144 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 20102144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20461812).

20102144 is an abundant number, since it is smaller than the sum of its proper divisors (20821480).

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

20102144 is an equidigital number, since it uses as much as digits as its factorization.

20102144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 20102144 is about 4483.5414573750. The cubic root of 20102144 is about 271.9030796558.

Adding to 20102144 its reverse (44120102), we get a palindrome (64222246).

The spelling of 20102144 in words is "twenty million, one hundred two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 67 128 134 256 268 293 512 536 586 1024 1072 1172 2144 2344 4288 4688 8576 9376 17152 18752 19631 34304 37504 39262 68608 75008 78524 150016 157048 300032 314096 628192 1256384 2512768 5025536 10051072 20102144