Search a number
-
+
16093696 = 2917432
BaseRepresentation
bin111101011001…
…001000000000
31010021122101211
4331121020000
513104444241
61332535504
7253536253
oct75311000
933248354
1016093696
1190a2483
125481594
1334463c8
1421cd09a
15162d781
hexf59200

16093696 has 60 divisors (see below), whose sum is σ = 34857702. Its totient is φ = 7397376.

The previous prime is 16093673. The next prime is 16093697. The reversal of 16093696 is 69639061.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 11833600 + 4260096 = 3440^2 + 2064^2 .

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16093697) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 374251 + ... + 374293.

Almost surely, 216093696 is an apocalyptic number.

16093696 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 16093696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17428851).

16093696 is an abundant number, since it is smaller than the sum of its proper divisors (18764006).

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

16093696 is an frugal number, since it uses more digits than its factorization.

16093696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 40.

The square root of 16093696 is about 4011.6949036536. The cubic root of 16093696 is about 252.4751261319.

The spelling of 16093696 in words is "sixteen million, ninety-three thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 17 32 34 43 64 68 86 128 136 172 256 272 344 512 544 688 731 1088 1376 1462 1849 2176 2752 2924 3698 4352 5504 5848 7396 8704 11008 11696 14792 22016 23392 29584 31433 46784 59168 62866 93568 118336 125732 187136 236672 251464 374272 473344 502928 946688 1005856 2011712 4023424 8046848 16093696