Search a number
-
+
16830336 = 273411069
BaseRepresentation
bin100000000110…
…0111110000000
31011200001212210
41000030332000
513302032321
61400422120
7263025015
oct100147600
934601783
1016830336
119555976
125777940
1336437a3
14234170c
151726b76
hex100cf80

16830336 has 64 divisors (see below), whose sum is σ = 45838800. Its totient is φ = 5468160.

The previous prime is 16830311. The next prime is 16830349. The reversal of 16830336 is 63303861.

It is a tau number, because it is divible by the number of its divisors (64).

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, 15210 + ... + 16278.

Almost surely, 216830336 is an apocalyptic number.

16830336 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 16830336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22919400).

16830336 is an abundant number, since it is smaller than the sum of its proper divisors (29008464).

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

16830336 is a wasteful number, since it uses less digits than its factorization.

16830336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 16830336 is about 4102.4792504046. The cubic root of 16830336 is about 256.2698976419.

The spelling of 16830336 in words is "sixteen million, eight hundred thirty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 328 384 492 656 984 1069 1312 1968 2138 2624 3207 3936 4276 5248 6414 7872 8552 12828 15744 17104 25656 34208 43829 51312 68416 87658 102624 131487 136832 175316 205248 262974 350632 410496 525948 701264 1051896 1402528 2103792 2805056 4207584 5610112 8415168 16830336