Search a number
-
+
230935680 = 2732540093
BaseRepresentation
bin11011100001111…
…00110010000000
3121002112202012100
431300330302000
5433104420210
634525430400
75502630603
oct1560746200
9532482170
10230935680
111093a2438
126540b400
1338ac9141
142295633a
151541a5c0
hexdc3cc80

230935680 has 96 divisors (see below), whose sum is σ = 797469660. Its totient is φ = 61581312.

The previous prime is 230935673. The next prime is 230935697. The reversal of 230935680 is 86539032.

230935680 is a `hidden beast` number, since 2 + 3 + 0 + 93 + 568 + 0 = 666.

230935680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 205291584 + 25644096 = 14328^2 + 5064^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14287 + ... + 25806.

Almost surely, 2230935680 is an apocalyptic number.

230935680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230935680 is an abundant number, since it is smaller than the sum of its proper divisors (566533980).

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

230935680 is a wasteful number, since it uses less digits than its factorization.

230935680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40118 (or 40103 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 230935680 is about 15196.5680336055. The cubic root of 230935680 is about 613.5222900261.

The spelling of 230935680 in words is "two hundred thirty million, nine hundred thirty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 40093 80186 120279 160372 200465 240558 320744 360837 400930 481116 601395 641488 721674 801860 962232 1202790 1282976 1443348 1603720 1804185 1924464 2405580 2565952 2886696 3207440 3608370 3848928 4811160 5131904 5773392 6414880 7216740 7697856 9622320 11546784 12829760 14433480 15395712 19244640 23093568 25659520 28866960 38489280 46187136 57733920 76978560 115467840 230935680