Search a number
-
+
260453232 = 2435135153
BaseRepresentation
bin11111000011000…
…11001101110000
3200011002101200000
433201203031300
51013134000412
641502230000
76311546604
oct1741431560
9604071600
10260453232
11124023406
1273285300
1341c62650
142683b504
1517ceb4dc
hexf863370

260453232 has 120 divisors (see below), whose sum is σ = 814208304. Its totient is φ = 80123904.

The previous prime is 260453231. The next prime is 260453233. The reversal of 260453232 is 232354062.

260453232 is a `hidden beast` number, since 2 + 604 + 53 + 2 + 3 + 2 = 666.

260453232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (260453231) and next prime (260453233).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 260453196 and 260453205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260453231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47968 + ... + 53120.

Almost surely, 2260453232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260453232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407104152).

260453232 is an abundant number, since it is smaller than the sum of its proper divisors (553755072).

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

260453232 is a wasteful number, since it uses less digits than its factorization.

260453232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5189 (or 5171 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 260453232 is about 16138.5635048476. The cubic root of 260453232 is about 638.6210806463.

The spelling of 260453232 in words is "two hundred sixty million, four hundred fifty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 243 312 324 351 432 468 486 624 648 702 936 972 1053 1296 1404 1872 1944 2106 2808 3159 3888 4212 5153 5616 6318 8424 10306 12636 15459 16848 20612 25272 30918 41224 46377 50544 61836 66989 82448 92754 123672 133978 139131 185508 200967 247344 267956 278262 371016 401934 417393 535912 556524 602901 742032 803868 834786 1071824 1113048 1205802 1252179 1607736 1669572 1808703 2226096 2411604 2504358 3215472 3339144 3617406 4823208 5008716 5426109 6678288 7234812 9646416 10017432 10852218 14469624 16278327 20034864 21704436 28939248 32556654 43408872 65113308 86817744 130226616 260453232