Search a number
-
+
188680500 = 223253231823
BaseRepresentation
bin10110011111100…
…00100100110100
3111011000221222200
423033300210310
5341300234000
630420024500
74450520631
oct1317604464
9434027880
10188680500
11975614a8
1253232130
1330122c88
141b0b7188
1511870500
hexb3f0934

188680500 has 144 divisors (see below), whose sum is σ = 621444096. Its totient is φ = 48100800.

The previous prime is 188680439. The next prime is 188680511. The reversal of 188680500 is 5086881.

188680500 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102589 + ... + 104411.

It is an arithmetic number, because the mean of its divisors is an integer number (4315584).

Almost surely, 2188680500 is an apocalyptic number.

188680500 is a gapful number since it is divisible by the number (10) 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 188680500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310722048).

188680500 is an abundant number, since it is smaller than the sum of its proper divisors (432763596).

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

188680500 is a wasteful number, since it uses less digits than its factorization.

188680500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1871 (or 1856 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 188680500 is about 13736.1020671805. The cubic root of 188680500 is about 573.5557959785. Note that the first 3 decimals are identical.

The spelling of 188680500 in words is "one hundred eighty-eight million, six hundred eighty thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 25 30 36 45 46 50 60 69 75 90 92 100 115 125 138 150 180 207 225 230 250 276 300 345 375 414 450 460 500 575 690 750 828 900 1035 1125 1150 1380 1500 1725 1823 2070 2250 2300 2875 3450 3646 4140 4500 5175 5469 5750 6900 7292 8625 9115 10350 10938 11500 16407 17250 18230 20700 21876 25875 27345 32814 34500 36460 41929 45575 51750 54690 65628 82035 83858 91150 103500 109380 125787 136725 164070 167716 182300 209645 227875 251574 273450 328140 377361 410175 419290 455750 503148 546900 628935 683625 754722 820350 838580 911500 1048225 1257870 1367250 1509444 1640700 1886805 2050875 2096450 2515740 2734500 3144675 3773610 4101750 4192900 5241125 6289350 7547220 8203500 9434025 10482250 12578700 15723375 18868050 20964500 31446750 37736100 47170125 62893500 94340250 188680500