Search a number
-
+
260988256 = 25193161227
BaseRepresentation
bin11111000111001…
…01110101100000
3200012002120120201
433203211311200
51013303111011
641521514544
76316235464
oct1743456540
9605076521
10260988256
11124359381
12734a2a54
13420bc029
142693a4a4
1517da4cc1
hexf8e5d60

260988256 has 96 divisors (see below), whose sum is σ = 569963520. Its totient is φ = 117158400.

The previous prime is 260988191. The next prime is 260988281. The reversal of 260988256 is 652889062.

It is a super-3 number, since 3×2609882563 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1149615 + ... + 1149841.

It is an arithmetic number, because the mean of its divisors is an integer number (5937120).

Almost surely, 2260988256 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 260988256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284981760).

260988256 is an abundant number, since it is smaller than the sum of its proper divisors (308975264).

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

260988256 is a wasteful number, since it uses less digits than its factorization.

260988256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 46.

The square root of 260988256 is about 16155.1309496395. The cubic root of 260988256 is about 639.0580674975.

The spelling of 260988256 in words is "two hundred sixty million, nine hundred eighty-eight thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 19 31 32 38 61 62 76 122 124 152 227 244 248 304 454 488 496 589 608 908 976 992 1159 1178 1816 1891 1952 2318 2356 3632 3782 4313 4636 4712 7037 7264 7564 8626 9272 9424 13847 14074 15128 17252 18544 18848 27694 28148 30256 34504 35929 37088 55388 56296 60512 69008 71858 110776 112592 133703 138016 143716 221552 225184 263093 267406 287432 429257 443104 526186 534812 574864 858514 1052372 1069624 1149728 1717028 2104744 2139248 3434056 4209488 4278496 6868112 8155883 8418976 13736224 16311766 32623532 65247064 130494128 260988256