Search a number
-
+
20200302240 = 2535187922397
BaseRepresentation
bin10010110100000010…
…000010011010100000
31221010210102200021020
4102310002002122200
5312332234132430
613140242325440
71313403510306
oct226402023240
957123380236
1020200302240
1186265a9068
123ab9059880
131b9c039681
14d98b46276
157d3634b10
hex4b40826a0

20200302240 has 96 divisors (see below), whose sum is σ = 63667658880. Its totient is φ = 5383640064.

The previous prime is 20200302211. The next prime is 20200302247. The reversal of 20200302240 is 4220300202.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×202003022403 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (20200302247) 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 15 ways as a sum of consecutive naturals, for example, 890722 + ... + 913118.

It is an arithmetic number, because the mean of its divisors is an integer number (663204780).

Almost surely, 220200302240 is an apocalyptic number.

20200302240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20200302240 is an abundant number, since it is smaller than the sum of its proper divisors (43467356640).

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

20200302240 is a wasteful number, since it uses less digits than its factorization.

20200302240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24294 (or 24286 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

Adding to 20200302240 its reverse (4220300202), we get a palindrome (24420602442).

The spelling of 20200302240 in words is "twenty billion, two hundred million, three hundred two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1879 3758 5637 7516 9395 11274 15032 18790 22397 22548 28185 30064 37580 44794 45096 56370 60128 67191 75160 89588 90192 111985 112740 134382 150320 179176 180384 223970 225480 268764 300640 335955 358352 447940 450960 537528 671910 716704 895880 901920 1075056 1343820 1791760 2150112 2687640 3583520 5375280 10750560 42083963 84167926 126251889 168335852 210419815 252503778 336671704 420839630 505007556 631259445 673343408 841679260 1010015112 1262518890 1346686816 1683358520 2020030224 2525037780 3366717040 4040060448 5050075560 6733434080 10100151120 20200302240