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260085536 = 25312391097
BaseRepresentation
bin11111000000010…
…01011100100000
3200010101201021122
433200021130200
51013040214121
641450311412
76305455604
oct1740113440
9603351248
10260085536
111238a2127
1273128568
1341b64189
1426783504
1517c775ab
hexf809720

260085536 has 48 divisors (see below), whose sum is σ = 531256320. Its totient is φ = 125207040.

The previous prime is 260085523. The next prime is 260085577. The reversal of 260085536 is 635580062.

It is a junction number, because it is equal to n+sod(n) for n = 260085496 and 260085505.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 236540 + ... + 237636.

It is an arithmetic number, because the mean of its divisors is an integer number (11067840).

Almost surely, 2260085536 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 260085536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265628160).

260085536 is an abundant number, since it is smaller than the sum of its proper divisors (271170784).

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

260085536 is a wasteful number, since it uses less digits than its factorization.

260085536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1377 (or 1369 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

The square root of 260085536 is about 16127.1676372511. The cubic root of 260085536 is about 638.3204137361.

The spelling of 260085536 in words is "two hundred sixty million, eighty-five thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 31 32 62 124 239 248 478 496 956 992 1097 1912 2194 3824 4388 7409 7648 8776 14818 17552 29636 34007 35104 59272 68014 118544 136028 237088 262183 272056 524366 544112 1048732 1088224 2097464 4194928 8127673 8389856 16255346 32510692 65021384 130042768 260085536