Search a number
-
+
16133256 = 233543193
BaseRepresentation
bin111101100010…
…110010001000
31010100122200000
4331202302020
513112231011
61333443000
7254062506
oct75426210
933318600
1016133256
11911a177
1254a0460
13345b409
1421dd676
15163a356
hexf62c88

16133256 has 96 divisors (see below), whose sum is σ = 46606560. Its totient is φ = 5225472.

The previous prime is 16133239. The next prime is 16133287. The reversal of 16133256 is 65233161.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83496 + ... + 83688.

It is an arithmetic number, because the mean of its divisors is an integer number (485485).

Almost surely, 216133256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16133256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23303280).

16133256 is an abundant number, since it is smaller than the sum of its proper divisors (30473304).

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

16133256 is a wasteful number, since it uses less digits than its factorization.

16133256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 241 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 16133256 is about 4016.6224617208. The cubic root of 16133256 is about 252.6818270116.

The spelling of 16133256 in words is "sixteen million, one hundred thirty-three thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 43 54 72 81 86 108 129 162 172 193 216 243 258 324 344 386 387 486 516 579 648 772 774 972 1032 1158 1161 1544 1548 1737 1944 2316 2322 3096 3474 3483 4632 4644 5211 6948 6966 8299 9288 10422 10449 13896 13932 15633 16598 20844 20898 24897 27864 31266 33196 41688 41796 46899 49794 62532 66392 74691 83592 93798 99588 125064 149382 187596 199176 224073 298764 375192 448146 597528 672219 896292 1344438 1792584 2016657 2688876 4033314 5377752 8066628 16133256