Search a number
-
+
230990760 = 2332571113641
BaseRepresentation
bin11011100010010…
…10001110101000
3121002122112202100
431301022032220
5433113201020
634530533400
75503250310
oct1561121650
9532575670
10230990760
1110942a860
1265437260
1338b18230
142296c440
151542ba90
hexdc4a3a8

230990760 has 384 divisors, whose sum is σ = 1009532160. Its totient is φ = 44236800.

The previous prime is 230990731. The next prime is 230990779. The reversal of 230990760 is 67099032.

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

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 360040 + ... + 360680.

It is an arithmetic number, because the mean of its divisors is an integer number (2628990).

Almost surely, 2230990760 is an apocalyptic number.

230990760 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 230990760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504766080).

230990760 is an abundant number, since it is smaller than the sum of its proper divisors (778541400).

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

230990760 is a wasteful number, since it uses less digits than its factorization.

230990760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 230990760 is about 15198.3801768478. The cubic root of 230990760 is about 613.5710628005.

The spelling of 230990760 in words is "two hundred thirty million, nine hundred ninety thousand, seven hundred sixty".