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10256016 = 243434969
BaseRepresentation
bin100111000111…
…111010010000
3201022001121110
4213013322100
510111143031
61003453320
7153113631
oct47077220
921261543
1010256016
115875551
123527240
132181264
14150d888
15d78c46
hex9c7e90

10256016 has 40 divisors (see below), whose sum is σ = 27116320. Its totient is φ = 3338496.

The previous prime is 10255963. The next prime is 10256039. The reversal of 10256016 is 61065201.

It is a happy number.

10256016 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10255983 and 10256001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 421 + ... + 4548.

It is an arithmetic number, because the mean of its divisors is an integer number (677908).

Almost surely, 210256016 is an apocalyptic number.

10256016 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 10256016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13558160).

10256016 is an abundant number, since it is smaller than the sum of its proper divisors (16860304).

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

10256016 is a wasteful number, since it uses less digits than its factorization.

10256016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5023 (or 5017 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 10256016 is about 3202.5015222479. The cubic root of 10256016 is about 217.2665641891.

The spelling of 10256016 in words is "ten million, two hundred fifty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 172 258 344 516 688 1032 2064 4969 9938 14907 19876 29814 39752 59628 79504 119256 213667 238512 427334 641001 854668 1282002 1709336 2564004 3418672 5128008 10256016