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20404440 = 2333572699
BaseRepresentation
bin100110111010…
…1100011011000
31102101122122000
41031311203120
520210420230
62005201000
7335302110
oct115654330
942348560
1020404440
1110577181
126a00160
1342c5544
1429d2040
151bd0b60
hex13758d8

20404440 has 128 divisors (see below), whose sum is σ = 77760000. Its totient is φ = 4662144.

The previous prime is 20404421. The next prime is 20404441. The reversal of 20404440 is 4440402.

It is a happy number.

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 (20404441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6211 + ... + 8909.

It is an arithmetic number, because the mean of its divisors is an integer number (607500).

Almost surely, 220404440 is an apocalyptic number.

20404440 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 20404440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38880000).

20404440 is an abundant number, since it is smaller than the sum of its proper divisors (57355560).

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

20404440 is a wasteful number, since it uses less digits than its factorization.

20404440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2726 (or 2716 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 20404440 is about 4517.1274057746. The cubic root of 20404440 is about 273.2592634251.

Adding to 20404440 its reverse (4440402), we get a palindrome (24844842).

The spelling of 20404440 in words is "twenty million, four hundred four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 840 945 1080 1260 1512 1890 2520 2699 3780 5398 7560 8097 10796 13495 16194 18893 21592 24291 26990 32388 37786 40485 48582 53980 56679 64776 72873 75572 80970 94465 97164 107960 113358 121455 145746 151144 161940 170037 188930 194328 226716 242910 283395 291492 323880 340074 364365 377860 453432 485820 510111 566790 582984 680148 728730 755720 850185 971640 1020222 1133580 1360296 1457460 1700370 2040444 2267160 2550555 2914920 3400740 4080888 5101110 6801480 10202220 20404440