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2035121340 = 2235717285031
BaseRepresentation
bin111100101001101…
…0111110010111100
312020211102212122110
41321103113302330
513131442340330
6533535414020
7101301150240
oct17123276274
95224385573
102035121340
1195485586a
12489684310
13265823415
141543dc420
15bd9eddb0
hex794d7cbc

2035121340 has 96 divisors (see below), whose sum is σ = 6895494144. Its totient is φ = 437806080.

The previous prime is 2035121317. The next prime is 2035121377. The reversal of 2035121340 is 431215302.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135376 + ... + 149655.

It is an arithmetic number, because the mean of its divisors is an integer number (71828064).

Almost surely, 22035121340 is an apocalyptic number.

2035121340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2035121340 is an abundant number, since it is smaller than the sum of its proper divisors (4860372804).

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

2035121340 is a wasteful number, since it uses less digits than its factorization.

2035121340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285067 (or 285065 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 2035121340 is about 45112.3191600698. The cubic root of 2035121340 is about 1267.2533153591.

Adding to 2035121340 its reverse (431215302), we get a palindrome (2466336642).

The spelling of 2035121340 in words is "two billion, thirty-five million, one hundred twenty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 28 30 34 35 42 51 60 68 70 84 85 102 105 119 140 170 204 210 238 255 340 357 420 476 510 595 714 1020 1190 1428 1785 2380 3570 7140 285031 570062 855093 1140124 1425155 1710186 1995217 2850310 3420372 3990434 4275465 4845527 5700620 5985651 7980868 8550930 9691054 9976085 11971302 14536581 17101860 19382108 19952170 23942604 24227635 29073162 29928255 33918689 39904340 48455270 58146324 59856510 67837378 72682905 96910540 101756067 119713020 135674756 145365810 169593445 203512134 290731620 339186890 407024268 508780335 678373780 1017560670 2035121340