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20190240 = 2532572003
BaseRepresentation
bin100110100000…
…1010000100000
31101222202210200
41031001100200
520132041430
62000425200
7333420450
oct115012040
941882720
1020190240
1110440254
126918200
13424bbb5
142977d60
151b8c460
hex1341420

20190240 has 144 divisors (see below), whose sum is σ = 78781248. Its totient is φ = 4612608.

The previous prime is 20190227. The next prime is 20190241. The reversal of 20190240 is 4209102.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20190241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9079 + ... + 11081.

It is an arithmetic number, because the mean of its divisors is an integer number (547092).

Almost surely, 220190240 is an apocalyptic number.

20190240 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 20190240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39390624).

20190240 is an abundant number, since it is smaller than the sum of its proper divisors (58591008).

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

20190240 is a wasteful number, since it uses less digits than its factorization.

20190240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2031 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 20190240 is about 4493.3550939137. The cubic root of 20190240 is about 272.2996984962.

Adding to 20190240 its reverse (4209102), we get a palindrome (24399342).

The spelling of 20190240 in words is "twenty million, one hundred ninety thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2003 2016 2520 3360 4006 5040 6009 8012 10015 10080 12018 14021 16024 18027 20030 24036 28042 30045 32048 36054 40060 42063 48072 56084 60090 64096 70105 72108 80120 84126 90135 96144 112168 120180 126189 140210 144216 160240 168252 180270 192288 210315 224336 240360 252378 280420 288432 320480 336504 360540 420630 448672 480720 504756 560840 576864 630945 673008 721080 841260 961440 1009512 1121680 1261890 1346016 1442160 1682520 2019024 2243360 2523780 2884320 3365040 4038048 5047560 6730080 10095120 20190240