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10009944 = 2332719861
BaseRepresentation
bin100110001011…
…110101011000
3200211120001200
4212023311120
510030304234
6554314200
7151040340
oct46136530
920746050
1010009944
11571768a
123428960
1320c6259
141487d20
15d2ad99
hex98bd58

10009944 has 48 divisors (see below), whose sum is σ = 30984720. Its totient is φ = 2859840.

The previous prime is 10009939. The next prime is 10009963. The reversal of 10009944 is 44990001.

10009944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 9427 + ... + 10434.

It is an arithmetic number, because the mean of its divisors is an integer number (645515).

Almost surely, 210009944 is an apocalyptic number.

10009944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10009944 is an abundant number, since it is smaller than the sum of its proper divisors (20974776).

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

10009944 is a wasteful number, since it uses less digits than its factorization.

10009944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19880 (or 19873 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 10009944 is about 3163.8495539453. The cubic root of 10009944 is about 215.5148576740.

Adding to 10009944 its reverse (44990001), we get a palindrome (54999945).

The spelling of 10009944 in words is "ten million, nine thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 19861 39722 59583 79444 119166 139027 158888 178749 238332 278054 357498 417081 476664 556108 714996 834162 1112216 1251243 1429992 1668324 2502486 3336648 5004972 10009944