Search a number
-
+
835023150 = 2325213473037
BaseRepresentation
bin110001110001010…
…111000100101110
32011012020120102100
4301301113010232
53202231220100
6214505235530
726456402553
oct6161270456
92135216370
10835023150
11399392285
121b3792ba6
13103cc6350
147cc84a2a
154d494400
hex31c5712e

835023150 has 144 divisors (see below), whose sum is σ = 2468217024. Its totient is φ = 201104640.

The previous prime is 835023143. The next prime is 835023151. The reversal of 835023150 is 51320538.

835023150 is a `hidden beast` number, since 8 + 3 + 502 + 3 + 150 = 666.

835023150 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×8350231502 = 1394527322071845000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (835023151) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 273432 + ... + 276468.

It is an arithmetic number, because the mean of its divisors is an integer number (17140396).

Almost surely, 2835023150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 835023150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234108512).

835023150 is an abundant number, since it is smaller than the sum of its proper divisors (1633193874).

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

835023150 is a wasteful number, since it uses less digits than its factorization.

835023150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3115 (or 3107 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 835023150 is about 28896.7671202161. The cubic root of 835023150 is about 941.6716707733.

Adding to 835023150 its reverse (51320538), we get a palindrome (886343688).

The spelling of 835023150 in words is "eight hundred thirty-five million, twenty-three thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 47 50 65 75 78 90 94 117 130 141 150 195 225 234 235 282 325 390 423 450 470 585 611 650 705 846 975 1170 1175 1222 1410 1833 1950 2115 2350 2925 3037 3055 3525 3666 4230 5499 5850 6074 6110 7050 9111 9165 10575 10998 15185 15275 18222 18330 21150 27333 27495 30370 30550 39481 45555 45825 54666 54990 75925 78962 91110 91650 118443 136665 137475 142739 151850 197405 227775 236886 273330 274950 285478 355329 394810 428217 455550 592215 683325 710658 713695 856434 987025 1184430 1284651 1366650 1427390 1776645 1855607 1974050 2141085 2569302 2961075 3553290 3568475 3711214 4282170 5566821 5922150 6423255 7136950 8883225 9278035 10705425 11133642 12846510 16700463 17766450 18556070 21410850 27834105 32116275 33400926 46390175 55668210 64232550 83502315 92780350 139170525 167004630 278341050 417511575 835023150