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10009960 = 2351913171
BaseRepresentation
bin100110001011…
…110101101000
3200211120002021
4212023311220
510030304320
6554314224
7151040362
oct46136550
920746067
1010009960
1157176a4
123428974
1320c626c
141487d32
15d2adaa
hex98bd68

10009960 has 32 divisors (see below), whose sum is σ = 23709600. Its totient is φ = 3792960.

The previous prime is 10009939. The next prime is 10009963. The reversal of 10009960 is 6990001.

10009960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10009963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5826 + ... + 7345.

It is an arithmetic number, because the mean of its divisors is an integer number (740925).

Almost surely, 210009960 is an apocalyptic number.

10009960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10009960 is an abundant number, since it is smaller than the sum of its proper divisors (13699640).

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

10009960 is a wasteful number, since it uses less digits than its factorization.

10009960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13201 (or 13197 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 25.

The square root of 10009960 is about 3163.8520825095. The cubic root of 10009960 is about 215.5149725010.

Adding to 10009960 its reverse (6990001), we get a palindrome (16999961).

The spelling of 10009960 in words is "ten million, nine thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 13171 26342 52684 65855 105368 131710 250249 263420 500498 526840 1000996 1251245 2001992 2502490 5004980 10009960