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14198016 = 283719139
BaseRepresentation
bin110110001010…
…010100000000
3222201100000110
4312022110000
512113314031
61224151320
7231452430
oct66122400
928640013
1014198016
1180181a8
124908540
132c315c1
141c582c0
1513a6c46
hexd8a500

14198016 has 144 divisors (see below), whose sum is σ = 45785600. Its totient is φ = 3815424.

The previous prime is 14197999. The next prime is 14198017. The reversal of 14198016 is 61089141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14198017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102075 + ... + 102213.

Almost surely, 214198016 is an apocalyptic number.

14198016 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 14198016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22892800).

14198016 is an abundant number, since it is smaller than the sum of its proper divisors (31587584).

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

14198016 is a wasteful number, since it uses less digits than its factorization.

14198016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 14198016 is about 3768.0254776209. The cubic root of 14198016 is about 242.1452125766.

The spelling of 14198016 in words is "fourteen million, one hundred ninety-eight thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 128 133 139 152 168 192 224 228 256 266 278 304 336 384 399 417 448 456 532 556 608 672 768 798 834 896 912 973 1064 1112 1216 1344 1596 1668 1792 1824 1946 2128 2224 2432 2641 2688 2919 3192 3336 3648 3892 4256 4448 4864 5282 5376 5838 6384 6672 7296 7784 7923 8512 8896 10564 11676 12768 13344 14592 15568 15846 17024 17792 18487 21128 23352 25536 26688 31136 31692 34048 35584 36974 42256 46704 51072 53376 55461 62272 63384 73948 84512 93408 102144 106752 110922 124544 126768 147896 169024 186816 221844 249088 253536 295792 338048 373632 443688 507072 591584 676096 747264 887376 1014144 1183168 1774752 2028288 2366336 3549504 4732672 7099008 14198016