Search a number
-
+
2035383840 = 253257201923
BaseRepresentation
bin111100101010001…
…0111111000100000
312020211221012201200
41321110113320200
513132024240330
6533545201200
7101303322450
oct17124277040
95224835650
102035383840
11954a15006
12489790200
132658b5a49
14154469d60
15bda51a60
hex79517e20

2035383840 has 144 divisors (see below), whose sum is σ = 7938036288. Its totient is φ = 465228288.

The previous prime is 2035383793. The next prime is 2035383841. The reversal of 2035383840 is 483835302.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×20353838402 = 8285574752266291200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2035383795 and 2035383804.

It is not an unprimeable number, because it can be changed into a prime (2035383841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90882 + ... + 111041.

It is an arithmetic number, because the mean of its divisors is an integer number (55125252).

Almost surely, 22035383840 is an apocalyptic number.

2035383840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2035383840 is an abundant number, since it is smaller than the sum of its proper divisors (5902652448).

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

2035383840 is a wasteful number, since it uses less digits than its factorization.

2035383840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201951 (or 201940 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2035383840 is about 45115.2284711050. The cubic root of 2035383840 is about 1267.3077985468.

The spelling of 2035383840 in words is "two billion, thirty-five million, three hundred eighty-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 10080 201923 403846 605769 807692 1009615 1211538 1413461 1615384 1817307 2019230 2423076 2826922 3028845 3230768 3634614 4038460 4240383 4846152 5653844 6057690 6461536 7067305 7269228 8076920 8480766 9086535 9692304 11307688 12115380 12721149 14134610 14538456 16153840 16961532 18173070 19384608 21201915 22615376 24230760 25442298 28269220 29076912 32307680 33923064 36346140 42403830 45230752 48461520 50884596 56538440 58153824 63605745 67846128 72692280 84807660 96923040 101769192 113076880 127211490 135692256 145384560 169615320 203538384 226153760 254422980 290769120 339230640 407076768 508845960 678461280 1017691920 2035383840