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10264016 = 247113811
BaseRepresentation
bin100111001001…
…110111010000
3201022110120202
4213021313100
510111422031
61003554332
7153146150
oct47116720
921273522
1010264016
115880564
12352b9a8
132184aa9
141512760
15d7b2cb
hex9c9dd0

10264016 has 40 divisors (see below), whose sum is σ = 22956864. Its totient is φ = 4354560.

The previous prime is 10263983. The next prime is 10264027. The reversal of 10264016 is 61046201.

It is a happy number.

10264016 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 7 ways as a sum of consecutive naturals, for example, 12251 + ... + 13061.

Almost surely, 210264016 is an apocalyptic number.

10264016 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 10264016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11478432).

10264016 is an abundant number, since it is smaller than the sum of its proper divisors (12692848).

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

10264016 is a wasteful number, since it uses less digits than its factorization.

10264016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 10264016 is about 3203.7503023800. The cubic root of 10264016 is about 217.3230409853.

The spelling of 10264016 in words is "ten million, two hundred sixty-four thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 56 112 113 226 452 791 811 904 1582 1622 1808 3164 3244 5677 6328 6488 11354 12656 12976 22708 45416 90832 91643 183286 366572 641501 733144 1283002 1466288 2566004 5132008 10264016