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260649216 = 2832294783
BaseRepresentation
bin11111000100100…
…11000100000000
3200011110100111200
433202103010000
51013211233331
641510341200
76313324152
oct1742230400
9604410450
10260649216
11124147683
127335a800
1342000909
142688cad2
1517d395e6
hexf893100

260649216 has 216 divisors, whose sum is σ = 803537280. Its totient is φ = 81113088.

The previous prime is 260649211. The next prime is 260649223. The reversal of 260649216 is 612946062.

260649216 is a `hidden beast` number, since 2 + 6 + 0 + 649 + 2 + 1 + 6 = 666.

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 (260649211) 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, 3140311 + ... + 3140393.

It is an arithmetic number, because the mean of its divisors is an integer number (3720080).

Almost surely, 2260649216 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 260649216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401768640).

260649216 is an abundant number, since it is smaller than the sum of its proper divisors (542888064).

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

260649216 is a wasteful number, since it uses less digits than its factorization.

260649216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 260649216 is about 16144.6342789176. The cubic root of 260649216 is about 638.7812221722.

The spelling of 260649216 in words is "two hundred sixty million, six hundred forty-nine thousand, two hundred sixteen".