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10289988 = 22321931481
BaseRepresentation
bin100111010000…
…001101000100
3201100210012200
4213100031010
510113234423
61004314500
7153314652
oct47201504
921323180
1010289988
115899025
123542a30
132193867
14151bdd2
15d83d43
hex9d0344

10289988 has 36 divisors (see below), whose sum is σ = 26163228. Its totient is φ = 3409920.

The previous prime is 10289971. The next prime is 10290019. The reversal of 10289988 is 88998201.

It can be written as a sum of positive squares in 2 ways, for example, as 3415104 + 6874884 = 1848^2 + 2622^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6208 + ... + 7688.

Almost surely, 210289988 is an apocalyptic number.

10289988 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10289988 is an abundant number, since it is smaller than the sum of its proper divisors (15873240).

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

10289988 is a wasteful number, since it uses less digits than its factorization.

10289988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1684 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The square root of 10289988 is about 3207.8011160295. The cubic root of 10289988 is about 217.5061908662.

The spelling of 10289988 in words is "ten million, two hundred eighty-nine thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 193 386 579 772 1158 1481 1737 2316 2962 3474 4443 5924 6948 8886 13329 17772 26658 53316 285833 571666 857499 1143332 1714998 2572497 3429996 5144994 10289988