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2020135040 = 27571140993
BaseRepresentation
bin111100001101000…
…1101000010000000
312012210020111022022
41320122031002000
513114123310130
6532242301012
7101026602350
oct17032150200
95183214268
102020135040
1194734a3a0
12484657768
132626a70a1
1415241ab60
15bc53d7e5
hex7868d080

2020135040 has 128 divisors (see below), whose sum is σ = 6021198720. Its totient is φ = 629637120.

The previous prime is 2020135031. The next prime is 2020135049. The reversal of 2020135040 is 405310202.

It is an interprime number because it is at equal distance from previous prime (2020135031) and next prime (2020135049).

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (2020135049) 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, 28784 + ... + 69776.

It is an arithmetic number, because the mean of its divisors is an integer number (47040615).

Almost surely, 22020135040 is an apocalyptic number.

2020135040 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 2020135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3010599360).

2020135040 is an abundant number, since it is smaller than the sum of its proper divisors (4001063680).

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

2020135040 is a wasteful number, since it uses less digits than its factorization.

2020135040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41030 (or 41018 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 2020135040 is about 44945.9123836640. The cubic root of 2020135040 is about 1264.1350333760.

Adding to 2020135040 its reverse (405310202), we get a palindrome (2425445242).

The spelling of 2020135040 in words is "two billion, twenty million, one hundred thirty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 64 70 77 80 88 110 112 128 140 154 160 176 220 224 280 308 320 352 385 440 448 560 616 640 704 770 880 896 1120 1232 1408 1540 1760 2240 2464 3080 3520 4480 4928 6160 7040 9856 12320 24640 40993 49280 81986 163972 204965 286951 327944 409930 450923 573902 655888 819860 901846 1147804 1311776 1434755 1639720 1803692 2254615 2295608 2623552 2869510 3156461 3279440 3607384 4509230 4591216 5247104 5739020 6312922 6558880 7214768 9018460 9182432 11478040 12625844 13117760 14429536 15782305 18036920 18364864 22956080 25251688 26235520 28859072 31564610 36073840 36729728 45912160 50503376 57718144 63129220 72147680 91824320 101006752 126258440 144295360 183648640 202013504 252516880 288590720 404027008 505033760 1010067520 2020135040