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10061856 = 2532722331
BaseRepresentation
bin100110011000…
…100000100000
3200221012021100
4212120200200
510033434411
6555354400
7151344600
oct46304040
920835240
1010061856
115752692
123452a00
132113a7c
14149cc00
15d3b456
hex998820

10061856 has 216 divisors, whose sum is σ = 35852544. Its totient is φ = 2661120.

The previous prime is 10061839. The next prime is 10061861. The reversal of 10061856 is 65816001.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 324561 + ... + 324591.

It is an arithmetic number, because the mean of its divisors is an integer number (165984).

Almost surely, 210061856 is an apocalyptic number.

10061856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10061856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17926272).

10061856 is an abundant number, since it is smaller than the sum of its proper divisors (25790688).

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

10061856 is a wasteful number, since it uses less digits than its factorization.

10061856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 10061856 is about 3172.0428748679. The cubic root of 10061856 is about 215.8867719315.

Adding to 10061856 its reverse (65816001), we get a palindrome (75877857).

The spelling of 10061856 in words is "ten million, sixty-one thousand, eight hundred fifty-six".