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2035143420 = 223589973929
BaseRepresentation
bin111100101001101…
…1101001011111100
312020211110222221020
41321103131023330
513131444042140
6533540104140
7101301301512
oct17123351374
95224428836
102035143420
11954870412
12489695050
1326583049b
141544064b2
15bda056d0
hex794dd2fc

2035143420 has 96 divisors (see below), whose sum is σ = 5823316800. Its totient is φ = 530939904.

The previous prime is 2035143419. The next prime is 2035143479. The reversal of 2035143420 is 243415302.

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, 516016 + ... + 519944.

It is an arithmetic number, because the mean of its divisors is an integer number (60659550).

Almost surely, 22035143420 is an apocalyptic number.

2035143420 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 2035143420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2911658400).

2035143420 is an abundant number, since it is smaller than the sum of its proper divisors (3788173380).

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

2035143420 is a wasteful number, since it uses less digits than its factorization.

2035143420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4127 (or 4125 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 2035143420 is about 45112.5638819165. The cubic root of 2035143420 is about 1267.2578983540.

Adding to 2035143420 its reverse (243415302), we get a palindrome (2278558722).

The spelling of 2035143420 in words is "two billion, thirty-five million, one hundred forty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 89 97 178 194 267 291 356 388 445 485 534 582 890 970 1068 1164 1335 1455 1780 1940 2670 2910 3929 5340 5820 7858 8633 11787 15716 17266 19645 23574 25899 34532 39290 43165 47148 51798 58935 78580 86330 103596 117870 129495 172660 235740 258990 349681 381113 517980 699362 762226 1049043 1143339 1398724 1524452 1748405 1905565 2098086 2286678 3496810 3811130 4196172 4573356 5245215 5716695 6993620 7622260 10490430 11433390 20980860 22866780 33919057 67838114 101757171 135676228 169595285 203514342 339190570 407028684 508785855 678381140 1017571710 2035143420