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16145696 = 25731471
BaseRepresentation
bin111101100101…
…110100100000
31010101021201202
4331211310200
513113130241
61334020332
7254144000
oct75456440
933337652
1016145696
119128556
1254a76a8
133463c88
142204000
15163dd9b
hexf65d20

16145696 has 48 divisors (see below), whose sum is σ = 37094400. Its totient is φ = 6914880.

The previous prime is 16145693. The next prime is 16145711. The reversal of 16145696 is 69654161.

16145696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (16145693) 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, 10241 + ... + 11711.

It is an arithmetic number, because the mean of its divisors is an integer number (772800).

Almost surely, 216145696 is an apocalyptic number.

16145696 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 16145696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18547200).

16145696 is an abundant number, since it is smaller than the sum of its proper divisors (20948704).

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

16145696 is an equidigital number, since it uses as much as digits as its factorization.

16145696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1502 (or 1480 counting only the distinct ones).

The product of its digits is 38880, while the sum is 38.

The square root of 16145696 is about 4018.1707280801. The cubic root of 16145696 is about 252.7467561317.

The spelling of 16145696 in words is "sixteen million, one hundred forty-five thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 343 392 686 784 1372 1471 1568 2744 2942 5488 5884 10297 10976 11768 20594 23536 41188 47072 72079 82376 144158 164752 288316 329504 504553 576632 1009106 1153264 2018212 2306528 4036424 8072848 16145696