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261936 = 243217107
BaseRepresentation
bin111111111100110000
3111022022100
4333330300
531340221
65340400
72140443
oct777460
9438270
10261936
11169884
12107700
13922bc
146b65a
1552926
hex3ff30

261936 has 60 divisors (see below), whose sum is σ = 783432. Its totient is φ = 81408.

The previous prime is 261917. The next prime is 261959. The reversal of 261936 is 639162.

It is a happy number.

261936 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2619362 = 137220936192, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is an unprimeable number.

261936 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2395 + ... + 2501.

2261936 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 261936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391716).

261936 is an abundant number, since it is smaller than the sum of its proper divisors (521496).

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

261936 is a wasteful number, since it uses less digits than its factorization.

261936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 129 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 261936 is about 511.7968346913. The cubic root of 261936 is about 63.9830684377.

The spelling of 261936 in words is "two hundred sixty-one thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 107 136 144 153 204 214 272 306 321 408 428 612 642 816 856 963 1224 1284 1712 1819 1926 2448 2568 3638 3852 5136 5457 7276 7704 10914 14552 15408 16371 21828 29104 32742 43656 65484 87312 130968 261936