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261271098 = 232112275813
BaseRepresentation
bin11111001001010…
…10111000111010
3200012121221120100
433210222320322
51013341133343
641531540230
76321524214
oct1744527072
9605557510
10261271098
11124531930
12735ba676
134218a9aa
14269b15b4
1517e0d9d3
hexf92ae3a

261271098 has 48 divisors (see below), whose sum is σ = 620377056. Its totient is φ = 78810720.

The previous prime is 261271067. The next prime is 261271103. The reversal of 261271098 is 890172162.

261271098 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42040 + ... + 47852.

It is an arithmetic number, because the mean of its divisors is an integer number (12924522).

Almost surely, 2261271098 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261271098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310188528).

261271098 is an abundant number, since it is smaller than the sum of its proper divisors (359105958).

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

261271098 is a wasteful number, since it uses less digits than its factorization.

261271098 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6059 (or 6056 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 261271098 is about 16163.8825162768. The cubic root of 261271098 is about 639.2888405958.

It can be divided in two parts, 26127 and 1098, that added together give a square (27225 = 1652).

The spelling of 261271098 in words is "two hundred sixty-one million, two hundred seventy-one thousand, ninety-eight".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 227 454 681 1362 2043 2497 4086 4994 5813 7491 11626 14982 17439 22473 34878 44946 52317 63943 104634 127886 191829 383658 575487 1150974 1319551 2639102 3958653 7917306 11875959 14515061 23751918 29030122 43545183 87090366 130635549 261271098