Search a number
-
+
10399616 = 27113719
BaseRepresentation
bin100111101010…
…111110000000
3201120100120222
4213222332000
510130241431
61010522212
7154252403
oct47527600
921510528
1010399616
115963427
123596368
132201726
141549d3a
15da657b
hex9eaf80

10399616 has 32 divisors (see below), whose sum is σ = 20930400. Its totient is φ = 5146624.

The previous prime is 10399573. The next prime is 10399619. The reversal of 10399616 is 61699301.

10399616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10399619) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14105 + ... + 14823.

It is an arithmetic number, because the mean of its divisors is an integer number (654075).

Almost surely, 210399616 is an apocalyptic number.

10399616 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 10399616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10465200).

10399616 is an abundant number, since it is smaller than the sum of its proper divisors (10530784).

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

10399616 is an equidigital number, since it uses as much as digits as its factorization.

10399616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 35.

The square root of 10399616 is about 3224.8435620972. The cubic root of 10399616 is about 218.2758900736.

The spelling of 10399616 in words is "ten million, three hundred ninety-nine thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 32 64 113 128 226 452 719 904 1438 1808 2876 3616 5752 7232 11504 14464 23008 46016 81247 92032 162494 324988 649976 1299952 2599904 5199808 10399616