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260988012 = 223217616991
BaseRepresentation
bin11111000111001…
…01110001101100
3200012002120020200
433203211301230
51013303104022
641521513500
76316234665
oct1743456154
9605076220
10260988012
1112435917a
12734a2890
13420bbb9c
142693a36c
1517da4bac
hexf8e5c6c

260988012 has 72 divisors (see below), whose sum is σ = 710079552. Its totient is φ = 80524800.

The previous prime is 260987989. The next prime is 260988017. The reversal of 260988012 is 210889062.

It is a super-3 number, since 3×2609880123 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (260988017) 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, 33837 + ... + 40827.

It is an arithmetic number, because the mean of its divisors is an integer number (9862216).

Almost surely, 2260988012 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 260988012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355039776).

260988012 is an abundant number, since it is smaller than the sum of its proper divisors (449091540).

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

260988012 is a wasteful number, since it uses less digits than its factorization.

260988012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7079 (or 7074 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 260988012 is about 16155.1233978574. The cubic root of 260988012 is about 639.0578683440.

The spelling of 260988012 in words is "two hundred sixty million, nine hundred eighty-eight thousand, twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 61 68 102 122 153 183 204 244 306 366 549 612 732 1037 1098 2074 2196 3111 4148 6222 6991 9333 12444 13982 18666 20973 27964 37332 41946 62919 83892 118847 125838 237694 251676 356541 426451 475388 713082 852902 1069623 1279353 1426164 1705804 2139246 2558706 3838059 4278492 5117412 7249667 7676118 14499334 15352236 21749001 28998668 43498002 65247003 86996004 130494006 260988012