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230860120 = 23543791699
BaseRepresentation
bin11011100001010…
…10010101011000
3121002101220112211
431300222111120
5433100010440
634524044504
75502164401
oct1560522530
9532356484
10230860120
11109350697
1265393734
1338aa092a
14229369a8
1515402eea
hexdc2a558

230860120 has 64 divisors (see below), whose sum is σ = 538560000. Its totient is φ = 89002368.

The previous prime is 230860117. The next prime is 230860159. The reversal of 230860120 is 21068032.

It is a junction number, because it is equal to n+sod(n) for n = 230860091 and 230860100.

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 15 ways as a sum of consecutive naturals, for example, 135031 + ... + 136729.

It is an arithmetic number, because the mean of its divisors is an integer number (8415000).

Almost surely, 2230860120 is an apocalyptic number.

230860120 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 230860120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269280000).

230860120 is an abundant number, since it is smaller than the sum of its proper divisors (307699880).

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

230860120 is a wasteful number, since it uses less digits than its factorization.

230860120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1832 (or 1828 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 230860120 is about 15194.0817425733. The cubic root of 230860120 is about 613.4553698039.

The spelling of 230860120 in words is "two hundred thirty million, eight hundred sixty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 43 79 86 158 172 215 316 344 395 430 632 790 860 1580 1699 1720 3160 3397 3398 6794 6796 8495 13588 13592 16985 16990 27176 33970 33980 67940 67960 73057 134221 135880 146114 268442 292228 365285 536884 584456 671105 730570 1073768 1342210 1461140 2684420 2922280 5368840 5771503 11543006 23086012 28857515 46172024 57715030 115430060 230860120