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16825116 = 223711131139
BaseRepresentation
bin100000000101…
…1101100011100
31011122210201110
41000023230130
513301400431
61400342020
7263003550
oct100135434
934583643
1016825116
119551a60
125774910
1336412b9
14233d860
151725346
hex100bb1c

16825116 has 96 divisors (see below), whose sum is σ = 49674240. Its totient is φ = 4305600.

The previous prime is 16825111. The next prime is 16825139. The reversal of 16825116 is 61152861.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16825111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120975 + ... + 121113.

It is an arithmetic number, because the mean of its divisors is an integer number (517440).

Almost surely, 216825116 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 16825116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24837120).

16825116 is an abundant number, since it is smaller than the sum of its proper divisors (32849124).

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

16825116 is a wasteful number, since it uses less digits than its factorization.

16825116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 293 counting only the distinct ones).

The product of its digits is 2880, while the sum is 30.

The square root of 16825116 is about 4101.8430004085. The cubic root of 16825116 is about 256.2434005042.

Adding to 16825116 its reverse (61152861), we get a palindrome (77977977).

The spelling of 16825116 in words is "sixteen million, eight hundred twenty-five thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 131 132 139 154 231 262 278 308 393 417 462 524 556 786 834 917 924 973 1441 1529 1572 1668 1834 1946 2751 2882 2919 3058 3668 3892 4323 4587 5502 5764 5838 6116 8646 9174 10087 10703 11004 11676 17292 18209 18348 20174 21406 30261 32109 36418 40348 42812 54627 60522 64218 72836 109254 121044 127463 128436 200299 218508 254926 382389 400598 509852 600897 764778 801196 1201794 1402093 1529556 2403588 2804186 4206279 5608372 8412558 16825116