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260848 = 24717137
BaseRepresentation
bin111111101011110000
3111020211001
4333223300
531321343
65331344
72134330
oct775360
9436731
10260848
11168a85
12106b54
1391963
146b0c0
155244d
hex3faf0

260848 has 40 divisors (see below), whose sum is σ = 616032. Its totient is φ = 104448.

The previous prime is 260809. The next prime is 260849. The reversal of 260848 is 848062.

260848 = T147 + T148 + ... + T167.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260849) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1836 + ... + 1972.

260848 is a Friedman number, since it can be written as 8^(8-2-0)-6^4, using all its digits and the basic arithmetic operations.

2260848 is an apocalyptic number.

260848 is a gapful number since it is divisible by the number (28) 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 260848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308016).

260848 is an abundant number, since it is smaller than the sum of its proper divisors (355184).

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

260848 is a wasteful number, since it uses less digits than its factorization.

260848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 260848 is about 510.7328068570. The cubic root of 260848 is about 63.8943569639.

260848 divided by its sum of digits (28) gives a triangular number (9316 = T136).

The spelling of 260848 in words is "two hundred sixty thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 137 238 272 274 476 548 952 959 1096 1904 1918 2192 2329 3836 4658 7672 9316 15344 16303 18632 32606 37264 65212 130424 260848