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40960 = 2135
BaseRepresentation
bin1010000000000000
32002012001
422000000
52302320
6513344
7230263
oct120000
962161
1040960
1128857
121b854
131584a
1410cda
15c20a
hexa000

40960 has 28 divisors (see below), whose sum is σ = 98298. Its totient is φ = 16384.

The previous prime is 40949. The next prime is 40961. The reversal of 40960 is 6904.

It can be divided in two parts, 40 and 960, that added together give a cube (1000 = 103).

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 36864 + 4096 = 192^2 + 64^2 .

It is a nialpdrome in base 4 and base 16.

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (40961) by changing a digit.

40960 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

In principle, a polygon with 40960 sides can be constructed with ruler and compass.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8190 + ... + 8194.

240960 is an apocalyptic number.

40960 is a gapful number since it is divisible by the number (40) 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 40960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49149).

40960 is an abundant number, since it is smaller than the sum of its proper divisors (57338).

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

40960 is an frugal number, since it uses more digits than its factorization.

40960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 40960 is about 202.3857702508. The cubic root of 40960 is about 34.4709550405.

The spelling of 40960 in words is "forty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 4096 5120 8192 10240 20480 40960