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2041104520 = 235713683821
BaseRepresentation
bin111100110101000…
…1100100010001000
312021020200212000201
41321222030202020
513140010321040
6534311541544
7101403050020
oct17152144210
95236625021
102041104520
11958172044
1248b68a8b4
13266b39870
14155118a80
15be2d1a9a
hex79a8c888

2041104520 has 128 divisors (see below), whose sum is σ = 5667459840. Its totient is φ = 644244480.

The previous prime is 2041104493. The next prime is 2041104529. The reversal of 2041104520 is 254011402.

It is a super-2 number, since 2×20411045202 = 8332215323128860800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2041104529) 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, 2485710 + ... + 2486530.

It is an arithmetic number, because the mean of its divisors is an integer number (44277030).

Almost surely, 22041104520 is an apocalyptic number.

2041104520 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 2041104520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2833729920).

2041104520 is an abundant number, since it is smaller than the sum of its proper divisors (3626355320).

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

2041104520 is a wasteful number, since it uses less digits than its factorization.

2041104520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1535 (or 1531 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 2041104520 is about 45178.5847498569. The cubic root of 2041104520 is about 1268.4939926249.

Adding to 2041104520 its reverse (254011402), we get a palindrome (2295115922).

The spelling of 2041104520 in words is "two billion, forty-one million, one hundred four thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 683 728 821 910 1366 1642 1820 2732 3284 3415 3640 4105 4781 5464 5747 6568 6830 8210 8879 9562 10673 11494 13660 16420 17758 19124 21346 22988 23905 27320 28735 32840 35516 38248 42692 44395 45976 47810 53365 57470 62153 71032 74711 85384 88790 95620 106730 114940 124306 149422 177580 191240 213460 229880 248612 298844 310765 355160 373555 426920 497224 560743 597688 621530 747110 1121486 1243060 1494220 2242972 2486120 2803715 2988440 3925201 4485944 5607430 7289659 7850402 11214860 14579318 15700804 19626005 22429720 29158636 31401608 36448295 39252010 51027613 58317272 72896590 78504020 102055226 145793180 157008040 204110452 255138065 291586360 408220904 510276130 1020552260 2041104520