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10406980 = 225520349
BaseRepresentation
bin100111101100…
…110001000100
3201120201200201
4213230301010
510131010410
61011020244
7154313023
oct47546104
921521621
1010406980
115968a11
12359a684
132204b9c
14154c8ba
15da883a
hex9ecc44

10406980 has 12 divisors (see below), whose sum is σ = 21854700. Its totient is φ = 4162784.

The previous prime is 10406959. The next prime is 10406983. The reversal of 10406980 is 8960401.

It can be written as a sum of positive squares in 2 ways, for example, as 5098564 + 5308416 = 2258^2 + 2304^2 .

It is not an unprimeable number, because it can be changed into a prime (10406983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 260155 + ... + 260194.

It is an arithmetic number, because the mean of its divisors is an integer number (1821225).

Almost surely, 210406980 is an apocalyptic number.

10406980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10406980 is an abundant number, since it is smaller than the sum of its proper divisors (11447720).

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

10406980 is a wasteful number, since it uses less digits than its factorization.

10406980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520358 (or 520356 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 10406980 is about 3225.9851208584. The cubic root of 10406980 is about 218.3273985269.

The spelling of 10406980 in words is "ten million, four hundred six thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 520349 1040698 2081396 2601745 5203490 10406980