Search a number
-
+
2040041120 = 255132342643
BaseRepresentation
bin111100110011000…
…1000111010100000
312021011200211022112
41321212020322200
513134222303440
6534233054452
7101361030515
oct17146107240
95234624275
102040041120
119576060a7
1248b257428
13266856830
14154d1d30c
15be171965
hex79988ea0

2040041120 has 96 divisors (see below), whose sum is σ = 5416129152. Its totient is φ = 720479232.

The previous prime is 2040040999. The next prime is 2040041167. The reversal of 2040041120 is 211400402.

It is a junction number, because it is equal to n+sod(n) for n = 2040041095 and 2040041104.

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, 26519 + ... + 69161.

It is an arithmetic number, because the mean of its divisors is an integer number (56418012).

Almost surely, 22040041120 is an apocalyptic number.

2040041120 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 2040041120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2708064576).

2040041120 is an abundant number, since it is smaller than the sum of its proper divisors (3376088032).

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

2040041120 is a wasteful number, since it uses less digits than its factorization.

2040041120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42694 (or 42686 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 2040041120 is about 45166.8143663022. The cubic root of 2040041120 is about 1268.2736624352.

Adding to 2040041120 its reverse (211400402), we get a palindrome (2251441522).

The spelling of 2040041120 in words is "two billion, forty million, forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 32 40 46 52 65 80 92 104 115 130 160 184 208 230 260 299 368 416 460 520 598 736 920 1040 1196 1495 1840 2080 2392 2990 3680 4784 5980 9568 11960 23920 42643 47840 85286 170572 213215 341144 426430 554359 682288 852860 980789 1108718 1364576 1705720 1961578 2217436 2771795 3411440 3923156 4434872 4903945 5543590 6822880 7846312 8869744 9807890 11087180 12750257 15692624 17739488 19615780 22174360 25500514 31385248 39231560 44348720 51001028 63751285 78463120 88697440 102002056 127502570 156926240 204004112 255005140 408008224 510010280 1020020560 2040041120