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275840 = 275431
BaseRepresentation
bin1000011010110000000
3112000101022
41003112000
532311330
65525012
72226125
oct1032600
9460338
10275840
11179274
12113768
1398726
147274c
1556ae5
hex43580

275840 has 32 divisors (see below), whose sum is σ = 660960. Its totient is φ = 110080.

The previous prime is 275837. The next prime is 275881. The reversal of 275840 is 48572.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 275840.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 425 + ... + 855.

It is an arithmetic number, because the mean of its divisors is an integer number (20655).

275840 is a Friedman number, since it can be written as (5+2^0)^7-8^4, using all its digits and the basic arithmetic operations.

2275840 is an apocalyptic number.

275840 is a gapful number since it is divisible by the number (20) 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 275840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330480).

275840 is an abundant number, since it is smaller than the sum of its proper divisors (385120).

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

275840 is an equidigital number, since it uses as much as digits as its factorization.

275840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 275840 is about 525.2047219894. The cubic root of 275840 is about 65.0957169692.

The spelling of 275840 in words is "two hundred seventy-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 431 640 862 1724 2155 3448 4310 6896 8620 13792 17240 27584 34480 55168 68960 137920 275840