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19966716 = 22337511
BaseRepresentation
bin100110000101…
…0101011111100
31101120102012000
41030022223330
520102413331
61551542300
7331500000
oct114125374
941512160
1019966716
11102a8320
12682a990
1341a1233
14291a700
151b460e6
hex130aafc

19966716 has 144 divisors (see below), whose sum is σ = 65882880. Its totient is φ = 5186160.

The previous prime is 19966711. The next prime is 19966747. The reversal of 19966716 is 61766991.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19966711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1815151 + ... + 1815161.

It is an arithmetic number, because the mean of its divisors is an integer number (457520).

Almost surely, 219966716 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 19966716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32941440).

19966716 is an abundant number, since it is smaller than the sum of its proper divisors (45916164).

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

19966716 is an equidigital number, since it uses as much as digits as its factorization.

19966716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 23 counting only the distinct ones).

The product of its digits is 122472, while the sum is 45.

The square root of 19966716 is about 4468.4131411498. The cubic root of 19966716 is about 271.2911002584.

The spelling of 19966716 in words is "nineteen million, nine hundred sixty-six thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 49 54 63 66 77 84 98 99 108 126 132 147 154 189 196 198 231 252 294 297 308 343 378 396 441 462 539 588 594 686 693 756 882 924 1029 1078 1188 1323 1372 1386 1617 1764 2058 2079 2156 2401 2646 2772 3087 3234 3773 4116 4158 4802 4851 5292 6174 6468 7203 7546 8316 9261 9604 9702 11319 12348 14406 14553 15092 16807 18522 19404 21609 22638 26411 28812 29106 33614 33957 37044 43218 45276 50421 52822 58212 64827 67228 67914 79233 86436 100842 101871 105644 129654 135828 151263 158466 184877 201684 203742 237699 259308 302526 316932 369754 407484 453789 475398 554631 605052 713097 739508 907578 950796 1109262 1426194 1663893 1815156 2218524 2852388 3327786 4991679 6655572 9983358 19966716