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20124120 = 2335672503
BaseRepresentation
bin100110011000…
…1000111011000
31101212102002210
41030301013120
520122432440
61555155120
7333023622
oct114610730
941772083
1020124120
11103a5605
1268a5aa0
134227a83
14295bc12
151b77a80
hex13311d8

20124120 has 64 divisors (see below), whose sum is σ = 61297920. Its totient is φ = 5284224.

The previous prime is 20124113. The next prime is 20124127. The reversal of 20124120 is 2142102.

It is an interprime number because it is at equal distance from previous prime (20124113) and next prime (20124127).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 20124096 and 20124105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20124127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6789 + ... + 9291.

It is an arithmetic number, because the mean of its divisors is an integer number (957780).

Almost surely, 220124120 is an apocalyptic number.

20124120 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 20124120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30648960).

20124120 is an abundant number, since it is smaller than the sum of its proper divisors (41173800).

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

20124120 is a wasteful number, since it uses less digits than its factorization.

20124120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2584 (or 2580 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 20124120 is about 4485.9915291940. The cubic root of 20124120 is about 272.0021265693.

Adding to 20124120 its reverse (2142102), we get a palindrome (22266222).

The spelling of 20124120 in words is "twenty million, one hundred twenty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 67 120 134 201 268 335 402 536 670 804 1005 1340 1608 2010 2503 2680 4020 5006 7509 8040 10012 12515 15018 20024 25030 30036 37545 50060 60072 75090 100120 150180 167701 300360 335402 503103 670804 838505 1006206 1341608 1677010 2012412 2515515 3354020 4024824 5031030 6708040 10062060 20124120