Search a number
-
+
230450760 = 233254314887
BaseRepresentation
bin11011011110001…
…10011001001000
3121001122010000100
431233012121020
5432443411020
634511205400
75465541051
oct1557063110
9531563010
10230450760
111090a1081
1265216860
13389894c7
142286b728
1515371a90
hexdbc6648

230450760 has 96 divisors (see below), whose sum is σ = 766434240. Its totient is φ = 60020352.

The previous prime is 230450719. The next prime is 230450783. The reversal of 230450760 is 67054032.

It is a happy number.

230450760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 8037 + ... + 22923.

It is an arithmetic number, because the mean of its divisors is an integer number (7983690).

Almost surely, 2230450760 is an apocalyptic number.

230450760 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 230450760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383217120).

230450760 is an abundant number, since it is smaller than the sum of its proper divisors (535983480).

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

230450760 is a wasteful number, since it uses less digits than its factorization.

230450760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14947 (or 14940 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 230450760 is about 15180.6047310376. The cubic root of 230450760 is about 613.0925632882.

The spelling of 230450760 in words is "two hundred thirty million, four hundred fifty thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 43 45 60 72 86 90 120 129 172 180 215 258 344 360 387 430 516 645 774 860 1032 1290 1548 1720 1935 2580 3096 3870 5160 7740 14887 15480 29774 44661 59548 74435 89322 119096 133983 148870 178644 223305 267966 297740 357288 446610 535932 595480 640141 669915 893220 1071864 1280282 1339830 1786440 1920423 2560564 2679660 3200705 3840846 5121128 5359320 5761269 6401410 7681692 9602115 11522538 12802820 15363384 19204230 23045076 25605640 28806345 38408460 46090152 57612690 76816920 115225380 230450760