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235124120 = 23571197787
BaseRepresentation
bin11100000001110…
…11010110011000
3121101102112122202
432000323112120
5440142432440
635155305332
75553344030
oct1600732630
9541375582
10235124120
111107a3260
12668ab248
13399346ca
14233268c0
1515996615
hexe03b598

235124120 has 128 divisors (see below), whose sum is σ = 667215360. Its totient is φ = 72437760.

The previous prime is 235124089. The next prime is 235124191. The reversal of 235124120 is 21421532.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 235124092 and 235124101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 298367 + ... + 299153.

It is an arithmetic number, because the mean of its divisors is an integer number (5212620).

Almost surely, 2235124120 is an apocalyptic number.

235124120 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 235124120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333607680).

235124120 is an abundant number, since it is smaller than the sum of its proper divisors (432091240).

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

235124120 is a wasteful number, since it uses less digits than its factorization.

235124120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 235124120 is about 15333.7575303642. The cubic root of 235124120 is about 617.2092048704.

Adding to 235124120 its reverse (21421532), we get a palindrome (256545652).

The spelling of 235124120 in words is "two hundred thirty-five million, one hundred twenty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 97 110 140 154 194 220 280 308 385 388 440 485 616 679 770 776 787 970 1067 1358 1540 1574 1940 2134 2716 3080 3148 3395 3880 3935 4268 5335 5432 5509 6296 6790 7469 7870 8536 8657 10670 11018 13580 14938 15740 17314 21340 22036 27160 27545 29876 31480 34628 37345 42680 43285 44072 55090 59752 60599 69256 74690 76339 86570 110180 121198 149380 152678 173140 220360 242396 298760 302995 305356 346280 381695 484792 534373 605990 610712 763390 839729 1068746 1211980 1526780 1679458 2137492 2423960 2671865 3053560 3358916 4198645 4274984 5343730 5878103 6717832 8397290 10687460 11756206 16794580 21374920 23512412 29390515 33589160 47024824 58781030 117562060 235124120