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2020130700 = 2235273732579
BaseRepresentation
bin111100001101000…
…1011111110001100
312012210020021100120
41320122023332030
513114123140300
6532242224540
7101026553610
oct17032137614
95183207316
102020130700
11947347105
12484655150
132626a5113
14152419340
15bc53c3a0
hex7868bf8c

2020130700 has 144 divisors (see below), whose sum is σ = 6700404480. Its totient is φ = 460327680.

The previous prime is 2020130647. The next prime is 2020130701. The reversal of 2020130700 is 70310202.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2020130700.

It is not an unprimeable number, because it can be changed into a prime (2020130701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 782011 + ... + 784589.

Almost surely, 22020130700 is an apocalyptic number.

2020130700 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 2020130700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3350202240).

2020130700 is an abundant number, since it is smaller than the sum of its proper divisors (4680273780).

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

2020130700 is a wasteful number, since it uses less digits than its factorization.

2020130700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2976 (or 2969 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 2020130700 is about 44945.8641033855. The cubic root of 2020130700 is about 1264.1341280983.

Adding to 2020130700 its reverse (70310202), we get a palindrome (2090440902).

The spelling of 2020130700 in words is "two billion, twenty million, one hundred thirty thousand, seven hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 373 420 525 700 746 1050 1119 1492 1865 2100 2238 2579 2611 3730 4476 5158 5222 5595 7460 7737 7833 9325 10316 10444 11190 12895 13055 15474 15666 18053 18650 22380 25790 26110 27975 30948 31332 36106 37300 38685 39165 51580 52220 54159 55950 64475 65275 72212 77370 78330 90265 108318 111900 128950 130550 154740 156660 180530 193425 195825 216636 257900 261100 270795 361060 386850 391650 451325 541590 773700 783300 902650 961967 1083180 1353975 1805300 1923934 2707950 2885901 3847868 4809835 5415900 5771802 6733769 9619670 11543604 13467538 14429505 19239340 20201307 24049175 26935076 28859010 33668845 40402614 48098350 57718020 67337690 72147525 80805228 96196700 101006535 134675380 144295050 168344225 202013070 288590100 336688450 404026140 505032675 673376900 1010065350 2020130700