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20441040 = 2435531607
BaseRepresentation
bin100110111111…
…0011111010000
31102110111211120
41031332133100
520213103130
62010042240
7335513604
oct115763720
942414746
1020441040
11105a1724
126a19380
1343090b9
142a01504
151bdb910
hex137e7d0

20441040 has 80 divisors (see below), whose sum is σ = 64603008. Its totient is φ = 5344768.

The previous prime is 20441033. The next prime is 20441051. The reversal of 20441040 is 4014402.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×204410402 = 835672232563200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11917 + ... + 13523.

Almost surely, 220441040 is an apocalyptic number.

20441040 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 20441040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32301504).

20441040 is an abundant number, since it is smaller than the sum of its proper divisors (44161968).

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

20441040 is a wasteful number, since it uses less digits than its factorization.

20441040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1676 (or 1670 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 20441040 is about 4521.1768379483. The cubic root of 20441040 is about 273.4225500289.

Adding to 20441040 its reverse (4014402), we get a palindrome (24455442).

The spelling of 20441040 in words is "twenty million, four hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 53 60 80 106 120 159 212 240 265 318 424 530 636 795 848 1060 1272 1590 1607 2120 2544 3180 3214 4240 4821 6360 6428 8035 9642 12720 12856 16070 19284 24105 25712 32140 38568 48210 64280 77136 85171 96420 128560 170342 192840 255513 340684 385680 425855 511026 681368 851710 1022052 1277565 1362736 1703420 2044104 2555130 3406840 4088208 5110260 6813680 10220520 20441040