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20130120 = 2335519109
BaseRepresentation
bin100110011001…
…0100101001000
31101212201100000
41030302211020
520123130440
61555243000
7333050253
oct114624510
941781300
1020130120
11103aa06a
1268a9460
13422a71a
14296009a
151b79730
hex1332948

20130120 has 192 divisors, whose sum is σ = 72072000. Its totient is φ = 5038848.

The previous prime is 20130079. The next prime is 20130163. The reversal of 20130120 is 2103102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 184626 + ... + 184734.

It is an arithmetic number, because the mean of its divisors is an integer number (375375).

Almost surely, 220130120 is an apocalyptic number.

20130120 is a gapful number since it is divisible by the number (20) 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 20130120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36036000).

20130120 is an abundant number, since it is smaller than the sum of its proper divisors (51941880).

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

20130120 is a wasteful number, since it uses less digits than its factorization.

20130120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 20130120 is about 4486.6602278309. The cubic root of 20130120 is about 272.0291563325.

Adding to 20130120 its reverse (2103102), we get a palindrome (22233222).

The spelling of 20130120 in words is "twenty million, one hundred thirty thousand, one hundred twenty".