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20130144 = 253277757
BaseRepresentation
bin100110011001…
…0100101100000
31101212201100220
41030302211200
520123131034
61555243040
7333050316
oct114624540
941781326
1020130144
11103aa091
1268a9480
13422a738
1429600b6
151b79749
hex1332960

20130144 has 48 divisors (see below), whose sum is σ = 53102448. Its totient is φ = 6676992.

The previous prime is 20130079. The next prime is 20130163. The reversal of 20130144 is 44103102.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26214 + ... + 26970.

It is an arithmetic number, because the mean of its divisors is an integer number (1106301).

Almost surely, 220130144 is an apocalyptic number.

20130144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20130144 is an abundant number, since it is smaller than the sum of its proper divisors (32972304).

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

20130144 is a wasteful number, since it uses less digits than its factorization.

20130144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 20130144 is about 4486.6629024254. The cubic root of 20130144 is about 272.0292644407.

Adding to 20130144 its reverse (44103102), we get a palindrome (64233246).

The spelling of 20130144 in words is "twenty million, one hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 277 554 757 831 1108 1514 1662 2216 2271 3028 3324 4432 4542 6056 6648 8864 9084 12112 13296 18168 24224 26592 36336 72672 209689 419378 629067 838756 1258134 1677512 2516268 3355024 5032536 6710048 10065072 20130144