[go: up one dir, main page]

Search a number
-
+
260347540 = 22537418581
BaseRepresentation
bin11111000010010…
…01011010010100
3200010220000200111
433201021122110
51013122110130
641500052404
76310626505
oct1741113224
9603800614
10260347540
11123a60a62
1273234104
1341c264cb
1426810bac
1517cca02a
hexf849694

260347540 has 48 divisors (see below), whose sum is σ = 575268624. Its totient is φ = 98841600.

The previous prime is 260347531. The next prime is 260347541. The reversal of 260347540 is 45743062.

It can be written as a sum of positive squares in 8 ways, for example, as 62157456 + 198190084 = 7884^2 + 14078^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260347541) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 26050 + ... + 34630.

It is an arithmetic number, because the mean of its divisors is an integer number (11984763).

Almost surely, 2260347540 is an apocalyptic number.

260347540 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 260347540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287634312).

260347540 is an abundant number, since it is smaller than the sum of its proper divisors (314921084).

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

260347540 is a wasteful number, since it uses less digits than its factorization.

260347540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8668 (or 8666 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 31.

The square root of 260347540 is about 16135.2886556144. The cubic root of 260347540 is about 638.5346847498.

The spelling of 260347540 in words is "two hundred sixty million, three hundred forty-seven thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 37 41 74 82 148 164 185 205 370 410 740 820 1517 3034 6068 7585 8581 15170 17162 30340 34324 42905 85810 171620 317497 351821 634994 703642 1269988 1407284 1587485 1759105 3174970 3518210 6349940 7036420 13017377 26034754 52069508 65086885 130173770 260347540