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10208980 = 225510449
BaseRepresentation
bin100110111100…
…011011010100
3201012200002101
4212330123110
510103141410
61002451444
7152526535
oct46743324
921180071
1010208980
115843181
123503b84
132165a22
1414da68c
15d69d3a
hex9bc6d4

10208980 has 12 divisors (see below), whose sum is σ = 21438900. Its totient is φ = 4083584.

The previous prime is 10208971. The next prime is 10208983. The reversal of 10208980 is 8980201.

It can be written as a sum of positive squares in 2 ways, for example, as 6320196 + 3888784 = 2514^2 + 1972^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10208983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 255205 + ... + 255244.

It is an arithmetic number, because the mean of its divisors is an integer number (1786575).

Almost surely, 210208980 is an apocalyptic number.

10208980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10208980 is an abundant number, since it is smaller than the sum of its proper divisors (11229920).

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

10208980 is a wasteful number, since it uses less digits than its factorization.

10208980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510458 (or 510456 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 10208980 is about 3195.1494487739. The cubic root of 10208980 is about 216.9339134907.

It can be divided in two parts, 1020 and 8980, that added together give a 4-th power (10000 = 104).

The spelling of 10208980 in words is "ten million, two hundred eight thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 510449 1020898 2041796 2552245 5104490 10208980