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20020120 = 2352347463
BaseRepresentation
bin100110001011…
…1101110011000
31101200010102221
41030113232120
520111120440
61553033424
7332111461
oct114275630
941603387
1020020120
111033445a
126855874
1341bc633
142931d68
151b56d4a
hex1317b98

20020120 has 64 divisors (see below), whose sum is σ = 48107520. Its totient is φ = 7480704.

The previous prime is 20020109. The next prime is 20020151. The reversal of 20020120 is 2102002.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43009 + ... + 43471.

It is an arithmetic number, because the mean of its divisors is an integer number (751680).

Almost surely, 220020120 is an apocalyptic number.

20020120 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 20020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24053760).

20020120 is an abundant number, since it is smaller than the sum of its proper divisors (28087400).

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

20020120 is a wasteful number, since it uses less digits than its factorization.

20020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 20020120 is about 4474.3848739240. The cubic root of 20020120 is about 271.5327546241.

Adding to 20020120 its reverse (2102002), we get a palindrome (22122122).

The spelling of 20020120 in words is "twenty million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 47 92 94 115 184 188 230 235 376 460 463 470 920 926 940 1081 1852 1880 2162 2315 3704 4324 4630 5405 8648 9260 10649 10810 18520 21298 21620 21761 42596 43240 43522 53245 85192 87044 106490 108805 174088 212980 217610 425960 435220 500503 870440 1001006 2002012 2502515 4004024 5005030 10010060 20020120