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16943136 = 2537191327
BaseRepresentation
bin100000010100…
…0100000100000
31011212210121120
41000220200200
513314140021
61403052240
7264004620
oct100504040
934783546
1016943136
1196226a1
125811080
133682c32
142370880
15174a2c6
hex1028820

16943136 has 96 divisors (see below), whose sum is σ = 53544960. Its totient is φ = 4582656.

The previous prime is 16943131. The next prime is 16943137. The reversal of 16943136 is 63134961.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 16943097 and 16943106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16943131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12105 + ... + 13431.

It is an arithmetic number, because the mean of its divisors is an integer number (557760).

Almost surely, 216943136 is an apocalyptic number.

16943136 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 16943136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26772480).

16943136 is an abundant number, since it is smaller than the sum of its proper divisors (36601824).

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

16943136 is a wasteful number, since it uses less digits than its factorization.

16943136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366 (or 1358 counting only the distinct ones).

The product of its digits is 11664, while the sum is 33.

The square root of 16943136 is about 4116.2040765735. The cubic root of 16943136 is about 256.8411459579.

The spelling of 16943136 in words is "sixteen million, nine hundred forty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 76 84 96 112 114 133 152 168 224 228 266 304 336 399 456 532 608 672 798 912 1064 1327 1596 1824 2128 2654 3192 3981 4256 5308 6384 7962 9289 10616 12768 15924 18578 21232 25213 27867 31848 37156 42464 50426 55734 63696 74312 75639 100852 111468 127392 148624 151278 176491 201704 222936 297248 302556 352982 403408 445872 529473 605112 705964 806816 891744 1058946 1210224 1411928 2117892 2420448 2823856 4235784 5647712 8471568 16943136