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260416 = 2613313
BaseRepresentation
bin111111100101000000
3111020020001
4333211000
531313131
65325344
72133142
oct774500
9436201
10260416
11168722
12106854
13916c0
146ac92
1552261
hex3f940

260416 has 28 divisors (see below), whose sum is σ = 558292. Its totient is φ = 119808.

The previous prime is 260413. The next prime is 260417. The reversal of 260416 is 614062.

260416 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 14400 + 246016 = 120^2 + 496^2 .

260416 is an undulating number in base 5.

It is a nialpdrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 260393 and 260402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260411) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 676 + ... + 988.

It is an arithmetic number, because the mean of its divisors is an integer number (19939).

2260416 is an apocalyptic number.

260416 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279146).

260416 is an abundant number, since it is smaller than the sum of its proper divisors (297876).

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

260416 is a wasteful number, since it uses less digits than its factorization.

260416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 260416 is about 510.3097098821. The cubic root of 260416 is about 63.8590648730.

Adding to 260416 its reverse (614062), we get a palindrome (874478).

It can be divided in two parts, 260 and 416, that added together give a palindrome (676).

The spelling of 260416 in words is "two hundred sixty thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 313 416 626 832 1252 2504 4069 5008 8138 10016 16276 20032 32552 65104 130208 260416