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10485760 = 2215
BaseRepresentation
bin101000000000…
…000000000000
3201201201202111
4220000000000
510141021020
61012425104
7155061505
oct50000000
921651674
1010485760
115a1211a
123618194
1322319bc
14156d4ac
15dc1d5a
hexa00000

10485760 has 44 divisors (see below), whose sum is σ = 25165818. Its totient is φ = 4194304.

The previous prime is 10485751. The next prime is 10485767. The reversal of 10485760 is 6758401.

It can be written as a sum of positive squares in only one way, i.e., 9437184 + 1048576 = 3072^2 + 1024^2 .

It is an ABA number since it can be written as A⋅BA, here for A=10, B=4.

It is a nialpdrome in base 4, base 8 and base 16.

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (10485767) by changing a digit.

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

In principle, a polygon with 10485760 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, 2097150 + ... + 2097154.

Almost surely, 210485760 is an apocalyptic number.

10485760 is a gapful number since it is divisible by the number (10) 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 10485760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12582909).

10485760 is an abundant number, since it is smaller than the sum of its proper divisors (14680058).

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

10485760 is an frugal number, since it uses more digits than its factorization.

10485760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 10485760 is about 3238.1723240124. The cubic root of 10485760 is about 218.8769211746.

The spelling of 10485760 in words is "ten million, four hundred eighty-five thousand, seven hundred sixty".