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20041320 = 23351329443
BaseRepresentation
bin100110001110…
…0111001101000
31101201012112010
41030130321220
520112310240
61553315520
7332230335
oct114347150
941635463
1020041320
1110349382
126865ba0
1341c9190
14293998c
151b5d280
hex131ce68

20041320 has 128 divisors (see below), whose sum is σ = 67132800. Its totient is φ = 4752384.

The previous prime is 20041279. The next prime is 20041327. The reversal of 20041320 is 2314002.

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 = 20041296 and 20041305.

It is not an unprimeable number, because it can be changed into a prime (20041327) 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, 45019 + ... + 45461.

It is an arithmetic number, because the mean of its divisors is an integer number (524475).

Almost surely, 220041320 is an apocalyptic number.

20041320 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 20041320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33566400).

20041320 is an abundant number, since it is smaller than the sum of its proper divisors (47091480).

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

20041320 is a wasteful number, since it uses less digits than its factorization.

20041320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 20041320 is about 4476.7532878192. The cubic root of 20041320 is about 271.6285659658.

Adding to 20041320 its reverse (2314002), we get a palindrome (22355322).

The spelling of 20041320 in words is "twenty million, forty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 29 30 39 40 52 58 60 65 78 87 104 116 120 130 145 156 174 195 232 260 290 312 348 377 390 435 443 520 580 696 754 780 870 886 1131 1160 1329 1508 1560 1740 1772 1885 2215 2262 2658 3016 3480 3544 3770 4430 4524 5316 5655 5759 6645 7540 8860 9048 10632 11310 11518 12847 13290 15080 17277 17720 22620 23036 25694 26580 28795 34554 38541 45240 46072 51388 53160 57590 64235 69108 77082 86385 102776 115180 128470 138216 154164 167011 172770 192705 230360 256940 308328 334022 345540 385410 501033 513880 668044 691080 770820 835055 1002066 1336088 1541640 1670110 2004132 2505165 3340220 4008264 5010330 6680440 10020660 20041320