Search a number
-
+
4068187100 = 22522310091753
BaseRepresentation
bin1111001001111011…
…1001101111011100
3101111112000022120022
43302132321233130
531312423441400
61511403211312
7202546006535
oct36236715734
911445008508
104068187100
1117a84271aa
12956516b38
134caaa7003
142a842368c
1518c243b85
hexf27b9bdc

4068187100 has 72 divisors (see below), whose sum is σ = 9226180320. Its totient is φ = 1554094080.

The previous prime is 4068187093. The next prime is 4068187117. The reversal of 4068187100 is 17818604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2319824 + ... + 2321576.

Almost surely, 24068187100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4068187100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4613090160).

4068187100 is an abundant number, since it is smaller than the sum of its proper divisors (5157993220).

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

4068187100 is a wasteful number, since it uses less digits than its factorization.

4068187100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2799 (or 2792 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 35.

The square root of 4068187100 is about 63782.3416001639. The cubic root of 4068187100 is about 1596.3703006742.

The spelling of 4068187100 in words is "four billion, sixty-eight million, one hundred eighty-seven thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 1009 1150 1753 2018 2300 3506 4036 5045 7012 8765 10090 17530 20180 23207 25225 35060 40319 43825 46414 50450 80638 87650 92828 100900 116035 161276 175300 201595 232070 403190 464140 580175 806380 1007975 1160350 1768777 2015950 2320700 3537554 4031900 7075108 8843885 17687770 35375540 40681871 44219425 81363742 88438850 162727484 176877700 203409355 406818710 813637420 1017046775 2034093550 4068187100