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20538120 = 2335315521
BaseRepresentation
bin100111001011…
…0001100001000
31102122110000010
41032112030020
520224204440
62012111520
7336366621
oct116261410
942573003
1020538120
1110658659
126a655a0
134341345
142a28a48
151c0a580
hex1396308

20538120 has 64 divisors (see below), whose sum is σ = 63613440. Its totient is φ = 5299200.

The previous prime is 20538109. The next prime is 20538127. The reversal of 20538120 is 2183502.

It is not an unprimeable number, because it can be changed into a prime (20538127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 960 + ... + 6480.

It is an arithmetic number, because the mean of its divisors is an integer number (993960).

Almost surely, 220538120 is an apocalyptic number.

20538120 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 20538120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31806720).

20538120 is an abundant number, since it is smaller than the sum of its proper divisors (43075320).

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

20538120 is a wasteful number, since it uses less digits than its factorization.

20538120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5566 (or 5562 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 20538120 is about 4531.9002636863. The cubic root of 20538120 is about 273.8547190113.

The spelling of 20538120 in words is "twenty million, five hundred thirty-eight thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3720 5521 11042 16563 22084 27605 33126 44168 55210 66252 82815 110420 132504 165630 171151 220840 331260 342302 513453 662520 684604 855755 1026906 1369208 1711510 2053812 2567265 3423020 4107624 5134530 6846040 10269060 20538120