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20181040 = 24511171971
BaseRepresentation
bin100110011111…
…1000000110000
31101222022011221
41030333000300
520131243130
62000314424
7333351565
oct114770060
941868157
1020181040
1110434350
126912a14
134247959
14297486c
151b8987a
hex133f030

20181040 has 160 divisors (see below), whose sum is σ = 57853440. Its totient is φ = 6451200.

The previous prime is 20181019. The next prime is 20181043. The reversal of 20181040 is 4018102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (20181043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 284205 + ... + 284275.

It is an arithmetic number, because the mean of its divisors is an integer number (361584).

Almost surely, 220181040 is an apocalyptic number.

20181040 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 20181040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28926720).

20181040 is an abundant number, since it is smaller than the sum of its proper divisors (37672400).

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

20181040 is a wasteful number, since it uses less digits than its factorization.

20181040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 20181040 is about 4492.3312433524. The cubic root of 20181040 is about 272.2583330010.

Adding to 20181040 its reverse (4018102), we get a palindrome (24199142).

The spelling of 20181040 in words is "twenty million, one hundred eighty-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 17 19 20 22 34 38 40 44 55 68 71 76 80 85 88 95 110 136 142 152 170 176 187 190 209 220 272 284 304 323 340 355 374 380 418 440 568 646 680 710 748 760 781 836 880 935 1045 1136 1207 1292 1349 1360 1420 1496 1520 1562 1615 1672 1870 2090 2414 2584 2698 2840 2992 3124 3230 3344 3553 3740 3905 4180 4828 5168 5396 5680 6035 6248 6460 6745 7106 7480 7810 8360 9656 10792 12070 12496 12920 13277 13490 14212 14839 14960 15620 16720 17765 19312 21584 22933 24140 25840 26554 26980 28424 29678 31240 35530 45866 48280 53108 53960 56848 59356 62480 66385 71060 74195 91732 96560 106216 107920 114665 118712 132770 142120 148390 183464 212432 229330 237424 252263 265540 284240 296780 366928 458660 504526 531080 593560 917320 1009052 1062160 1187120 1261315 1834640 2018104 2522630 4036208 5045260 10090520 20181040