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4100532040 = 23511109193443
BaseRepresentation
bin1111010001101001…
…0010011101001000
3101120202212121111001
43310122102131020
531344214011130
61514520344344
7203420642623
oct36432223510
911522777431
104100532040
111814709460
129653150b4
135046c0427
142ac842dba
1518eed26ca
hexf4692748

4100532040 has 128 divisors (see below), whose sum is σ = 10232956800. Its totient is φ = 1466449920.

The previous prime is 4100532019. The next prime is 4100532043. The reversal of 4100532040 is 402350014.

It is a super-2 number, since 2×41005320402 = 33628726022133123200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4100531999 and 4100532017.

It is not an unprimeable number, because it can be changed into a prime (4100532043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9256059 + ... + 9256501.

It is an arithmetic number, because the mean of its divisors is an integer number (79944975).

Almost surely, 24100532040 is an apocalyptic number.

4100532040 is a gapful number since it is divisible by the number (40) 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 4100532040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5116478400).

4100532040 is an abundant number, since it is smaller than the sum of its proper divisors (6132424760).

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

4100532040 is a wasteful number, since it uses less digits than its factorization.

4100532040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 4100532040 is about 64035.3967739718. The cubic root of 4100532040 is about 1600.5898918655.

Adding to 4100532040 its reverse (402350014), we get a palindrome (4502882054).

The spelling of 4100532040 in words is "four billion, one hundred million, five hundred thirty-two thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 109 110 193 218 220 386 436 440 443 545 772 872 886 965 1090 1199 1544 1772 1930 2123 2180 2215 2398 3544 3860 4246 4360 4430 4796 4873 5995 7720 8492 8860 9592 9746 10615 11990 16984 17720 19492 21037 21230 23980 24365 38984 42074 42460 47960 48287 48730 84148 84920 85499 96574 97460 105185 168296 170998 193148 194920 210370 231407 241435 341996 386296 420740 427495 462814 482870 531157 683992 841480 854990 925628 940489 965740 1062314 1157035 1709980 1851256 1880978 1931480 2124628 2314070 2655785 3419960 3761956 4249256 4628140 4702445 5311570 7523912 9256280 9319391 9404890 10623140 18638782 18809780 21246280 37277564 37619560 46596955 74555128 93193910 102513301 186387820 205026602 372775640 410053204 512566505 820106408 1025133010 2050266020 4100532040