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2030244040 = 23511172311801
BaseRepresentation
bin111100100000011…
…0001000011001000
312020111021002020201
41321000301003020
513124220302130
6533243101544
7101211534556
oct17100610310
95214232221
102030244040
11952024440
12487b118b4
13264806446
141538ccbd6
15bd388bca
hex790310c8

2030244040 has 128 divisors (see below), whose sum is σ = 5506341120. Its totient is φ = 664576000.

The previous prime is 2030243987. The next prime is 2030244043. The reversal of 2030244040 is 404420302.

It is a super-3 number, since 3×20302440403 (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2030243999 and 2030244017.

It is not an unprimeable number, because it can be changed into a prime (2030244043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 166140 + ... + 177940.

It is an arithmetic number, because the mean of its divisors is an integer number (43018290).

Almost surely, 22030244040 is an apocalyptic number.

2030244040 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 2030244040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2753170560).

2030244040 is an abundant number, since it is smaller than the sum of its proper divisors (3476097080).

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

2030244040 is a wasteful number, since it uses less digits than its factorization.

2030244040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11863 (or 11859 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 2030244040 is about 45058.2294370296. The cubic root of 2030244040 is about 1266.2401540306.

Adding to 2030244040 its reverse (404420302), we get a palindrome (2434664342).

The spelling of 2030244040 in words is "two billion, thirty million, two hundred forty-four thousand, forty".

Divisors: 1 2 4 5 8 10 11 17 20 22 23 34 40 44 46 55 68 85 88 92 110 115 136 170 184 187 220 230 253 340 374 391 440 460 506 680 748 782 920 935 1012 1265 1496 1564 1870 1955 2024 2530 3128 3740 3910 4301 5060 7480 7820 8602 10120 11801 15640 17204 21505 23602 34408 43010 47204 59005 86020 94408 118010 129811 172040 200617 236020 259622 271423 401234 472040 519244 542846 649055 802468 1003085 1038488 1085692 1298110 1357115 1604936 2006170 2171384 2206787 2596220 2714230 2985653 4012340 4413574 4614191 5192440 5428460 5971306 8024680 8827148 9228382 10856920 11033935 11942612 14928265 17654296 18456764 22067870 23070955 23885224 29856530 36913528 44135740 46141910 50756101 59713060 88271480 92283820 101512202 119426120 184567640 203024404 253780505 406048808 507561010 1015122020 2030244040