Search a number
-
+
230741520 = 24352341801
BaseRepresentation
bin11011100000011…
…01011000010000
3121002011212212020
431300031120100
5433032212040
634521331440
75501161542
oct1560153020
9532155766
10230741520
1110927a579
1265336b80
1338a5b959
1422905692
15153cccd0
hexdc0d610

230741520 has 80 divisors (see below), whose sum is σ = 746416512. Its totient is φ = 58854400.

The previous prime is 230741513. The next prime is 230741521. The reversal of 230741520 is 25147032.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (230741521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15381 + ... + 26420.

Almost surely, 2230741520 is an apocalyptic number.

230741520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230741520 is an abundant number, since it is smaller than the sum of its proper divisors (515674992).

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

230741520 is a wasteful number, since it uses less digits than its factorization.

230741520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41840 (or 41834 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 230741520 is about 15190.1784057989. The cubic root of 230741520 is about 613.3503014629.

Adding to 230741520 its reverse (25147032), we get a palindrome (255888552).

The spelling of 230741520 in words is "two hundred thirty million, seven hundred forty-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 1104 1380 1840 2760 5520 41801 83602 125403 167204 209005 250806 334408 418010 501612 627015 668816 836020 961423 1003224 1254030 1672040 1922846 2006448 2508060 2884269 3344080 3845692 4807115 5016120 5768538 7691384 9614230 10032240 11537076 14421345 15382768 19228460 23074152 28842690 38456920 46148304 57685380 76913840 115370760 230741520