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20441340 = 223251943139
BaseRepresentation
bin100110111111…
…0100011111100
31102110112020200
41031332203330
520213110330
62010043500
7335514513
oct115764374
942415220
1020441340
11105a1977
126a19590
13430928a
142a0167a
151bdba60
hex137e8fc

20441340 has 144 divisors (see below), whose sum is σ = 67267200. Its totient is φ = 5007744.

The previous prime is 20441269. The next prime is 20441347. The reversal of 20441340 is 4314402.

20441340 = T399 + T400 + ... + T570.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20441347) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146991 + ... + 147129.

Almost surely, 220441340 is an apocalyptic number.

20441340 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 20441340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33633600).

20441340 is an abundant number, since it is smaller than the sum of its proper divisors (46825860).

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

20441340 is a wasteful number, since it uses less digits than its factorization.

20441340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 20441340 is about 4521.2100150292. The cubic root of 20441340 is about 273.4238876380.

Adding to 20441340 its reverse (4314402), we get a palindrome (24755742).

The spelling of 20441340 in words is "twenty million, four hundred forty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 43 45 57 60 76 86 90 95 114 129 139 171 172 180 190 215 228 258 278 285 342 380 387 417 430 516 556 570 645 684 695 774 817 834 855 860 1140 1251 1290 1390 1548 1634 1668 1710 1935 2085 2451 2502 2580 2641 2780 3268 3420 3870 4085 4170 4902 5004 5282 5977 6255 7353 7740 7923 8170 8340 9804 10564 11954 12255 12510 13205 14706 15846 16340 17931 23769 23908 24510 25020 26410 29412 29885 31692 35862 36765 39615 47538 49020 52820 53793 59770 71724 73530 79230 89655 95076 107586 113563 118845 119540 147060 158460 179310 215172 227126 237690 268965 340689 358620 454252 475380 537930 567815 681378 1022067 1075860 1135630 1362756 1703445 2044134 2271260 3406890 4088268 5110335 6813780 10220670 20441340