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20010120 = 233513101127
BaseRepresentation
bin100110001010…
…1010010001000
31101122121201120
41030111102020
520110310440
61552515240
7332040354
oct114252210
941577646
1020010120
1110327999
12684bb20
1341b7c10
14292c464
151b53dd0
hex1315488

20010120 has 128 divisors (see below), whose sum is σ = 65802240. Its totient is φ = 4838400.

The previous prime is 20010079. The next prime is 20010127. The reversal of 20010120 is 2101002.

20010120 = T291 + T292 + ... + T524.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 20010099 and 20010108.

It is not an unprimeable number, because it can be changed into a prime (20010127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157497 + ... + 157623.

It is an arithmetic number, because the mean of its divisors is an integer number (514080).

Almost surely, 220010120 is an apocalyptic number.

20010120 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 20010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32901120).

20010120 is an abundant number, since it is smaller than the sum of its proper divisors (45792120).

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

20010120 is a wasteful number, since it uses less digits than its factorization.

20010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 20010120 is about 4473.2672623039. The cubic root of 20010120 is about 271.4875371167.

Adding to 20010120 its reverse (2101002), we get a palindrome (22111122).

The spelling of 20010120 in words is "twenty million, ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 101 104 120 127 130 156 195 202 254 260 303 312 381 390 404 505 508 520 606 635 762 780 808 1010 1016 1212 1270 1313 1515 1524 1560 1651 1905 2020 2424 2540 2626 3030 3048 3302 3810 3939 4040 4953 5080 5252 6060 6565 6604 7620 7878 8255 9906 10504 12120 12827 13130 13208 15240 15756 16510 19695 19812 24765 25654 26260 31512 33020 38481 39390 39624 49530 51308 52520 64135 66040 76962 78780 99060 102616 128270 153924 157560 166751 192405 198120 256540 307848 333502 384810 500253 513080 667004 769620 833755 1000506 1334008 1539240 1667510 2001012 2501265 3335020 4002024 5002530 6670040 10005060 20010120