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2041316520 = 233531737517
BaseRepresentation
bin111100110101100…
…0000010010101000
312021021002121211120
41321223000102220
513140034112040
6534320255240
7101404622055
oct17153002250
95237077746
102041316520
119582a7351
1248b771520
13266bb21c9
1415517202c
15be3247d0
hex79ac04a8

2041316520 has 128 divisors (see below), whose sum is σ = 6408944640. Its totient is φ = 519505920.

The previous prime is 2041316507. The next prime is 2041316573. The reversal of 2041316520 is 256131402.

It is a super-3 number, since 3×20413165203 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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, 267802 + ... + 275318.

It is an arithmetic number, because the mean of its divisors is an integer number (50069880).

Almost surely, 22041316520 is an apocalyptic number.

2041316520 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 2041316520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3204472320).

2041316520 is an abundant number, since it is smaller than the sum of its proper divisors (4367628120).

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

2041316520 is a wasteful number, since it uses less digits than its factorization.

2041316520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7635 (or 7631 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2041316520 is about 45180.9309333042. The cubic root of 2041316520 is about 1268.5379086213.

Adding to 2041316520 its reverse (256131402), we get a palindrome (2297447922).

The spelling of 2041316520 in words is "two billion, forty-one million, three hundred sixteen thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 73 93 120 124 146 155 186 219 248 292 310 365 372 438 465 584 620 730 744 876 930 1095 1240 1460 1752 1860 2190 2263 2920 3720 4380 4526 6789 7517 8760 9052 11315 13578 15034 18104 22551 22630 27156 30068 33945 37585 45102 45260 54312 60136 67890 75170 90204 90520 112755 135780 150340 180408 225510 233027 271560 300680 451020 466054 548741 699081 902040 932108 1097482 1165135 1398162 1646223 1864216 2194964 2330270 2743705 2796324 3292446 3495405 4389928 4660540 5487410 5592648 6584892 6990810 8231115 9321080 10974820 13169784 13981620 16462230 17010971 21949640 27963240 32924460 34021942 51032913 65848920 68043884 85054855 102065826 136087768 170109710 204131652 255164565 340219420 408263304 510329130 680438840 1020658260 2041316520