Search a number
-
+
232730560 = 26523103307
BaseRepresentation
bin11011101111100…
…10111111000000
3121012220221022101
431313302333000
5434034334220
635032120144
75524114516
oct1567627700
9535827271
10232730560
1110a408a07
1265b36054
13392a70ba
1422ca24b6
151567230a
hexddf2fc0

232730560 has 112 divisors (see below), whose sum is σ = 585801216. Its totient is φ = 87892992.

The previous prime is 232730557. The next prime is 232730569. The reversal of 232730560 is 65037232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232730569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 757927 + ... + 758233.

It is an arithmetic number, because the mean of its divisors is an integer number (5230368).

Almost surely, 2232730560 is an apocalyptic number.

232730560 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 232730560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292900608).

232730560 is an abundant number, since it is smaller than the sum of its proper divisors (353070656).

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

232730560 is a wasteful number, since it uses less digits than its factorization.

232730560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 28.

The square root of 232730560 is about 15255.5091688216. The cubic root of 232730560 is about 615.1076639675.

Adding to 232730560 its reverse (65037232), we get a palindrome (297767792).

The spelling of 232730560 in words is "two hundred thirty-two million, seven hundred thirty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 103 115 160 184 206 230 307 320 368 412 460 515 614 736 824 920 1030 1228 1472 1535 1648 1840 2060 2369 2456 3070 3296 3680 4120 4738 4912 6140 6592 7061 7360 8240 9476 9824 11845 12280 14122 16480 18952 19648 23690 24560 28244 31621 32960 35305 37904 47380 49120 56488 63242 70610 75808 94760 98240 112976 126484 141220 151616 158105 189520 225952 252968 282440 316210 379040 451904 505936 564880 632420 727283 758080 1011872 1129760 1264840 1454566 2023744 2259520 2529680 2909132 3636415 5059360 5818264 7272830 10118720 11636528 14545660 23273056 29091320 46546112 58182640 116365280 232730560