Search a number
-
+
2102021040 = 243579712899
BaseRepresentation
bin111110101001010…
…0100101110110000
312102111022201210010
41331102210232300
513301104133130
6544325334520
7103042612140
oct17522445660
95374281703
102102021040
11989599579
124a7b67440
13276647a42
1415d254920
15c48160b0
hex7d4a4bb0

2102021040 has 160 divisors (see below), whose sum is σ = 7524518400. Its totient is φ = 475471872.

The previous prime is 2102021029. The next prime is 2102021041. The reversal of 2102021040 is 401202012.

2102021040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2102021041) 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, 156511 + ... + 169409.

It is an arithmetic number, because the mean of its divisors is an integer number (47028240).

Almost surely, 22102021040 is an apocalyptic number.

2102021040 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 2102021040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3762259200).

2102021040 is an abundant number, since it is smaller than the sum of its proper divisors (5422497360).

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

2102021040 is a wasteful number, since it uses less digits than its factorization.

2102021040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13019 (or 13013 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2102021040 is about 45847.8030007982. The cubic root of 2102021040 is about 1280.9898430663.

Adding to 2102021040 its reverse (401202012), we get a palindrome (2503223052).

The spelling of 2102021040 in words is "two billion, one hundred two million, twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 97 105 112 120 140 168 194 210 240 280 291 336 388 420 485 560 582 679 776 840 970 1164 1358 1455 1552 1680 1940 2037 2328 2716 2910 3395 3880 4074 4656 5432 5820 6790 7760 8148 10185 10864 11640 12899 13580 16296 20370 23280 25798 27160 32592 38697 40740 51596 54320 64495 77394 81480 90293 103192 128990 154788 162960 180586 193485 206384 257980 270879 309576 361172 386970 451465 515960 541758 619152 722344 773940 902930 1031920 1083516 1251203 1354395 1444688 1547880 1805860 2167032 2502406 2708790 3095760 3611720 3753609 4334064 5004812 5417580 6256015 7223440 7507218 8758421 10009624 10835160 12512030 15014436 17516842 18768045 20019248 21670320 25024060 26275263 30028872 35033684 37536090 43792105 50048120 52550526 60057744 70067368 75072180 87584210 100096240 105101052 131376315 140134736 150144360 175168420 210202104 262752630 300288720 350336840 420404208 525505260 700673680 1051010520 2102021040