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260987472 = 24322962497
BaseRepresentation
bin11111000111001…
…01101001010000
3200012002112111200
433203211221100
51013303044342
641521511200
76316233264
oct1743455120
9605075450
10260987472
11124358829
12734a2500
13420bb875
142693a0a4
1517da494c
hexf8e5a50

260987472 has 60 divisors (see below), whose sum is σ = 755600820. Its totient is φ = 83994624.

The previous prime is 260987459. The next prime is 260987497. The reversal of 260987472 is 274789062.

260987472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 116122176 + 144865296 = 10776^2 + 12036^2 .

It is a super-3 number, since 3×2609874723 (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 11 ways as a sum of consecutive naturals, for example, 27073 + ... + 35424.

It is an arithmetic number, because the mean of its divisors is an integer number (12593347).

Almost surely, 2260987472 is an apocalyptic number.

It is an amenable number.

260987472 is an abundant number, since it is smaller than the sum of its proper divisors (494613348).

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

260987472 is a wasteful number, since it uses less digits than its factorization.

260987472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62540 (or 62531 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 260987472 is about 16155.1066848845. The cubic root of 260987472 is about 639.0574275939.

The spelling of 260987472 in words is "two hundred sixty million, nine hundred eighty-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 2088 4176 62497 124994 187491 249988 374982 499976 562473 749964 999952 1124946 1499928 1812413 2249892 2999856 3624826 4499784 5437239 7249652 8999568 10874478 14499304 16311717 21748956 28998608 32623434 43497912 65246868 86995824 130493736 260987472