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16706016 = 2532194371
BaseRepresentation
bin111111101110…
…100111100000
31011102202100100
4333232213200
513234043031
61354022400
7261666405
oct77564740
934382310
1016706016
119480528
125717a00
1335cc022
14230c2ac
1516eede6
hexfee9e0

16706016 has 144 divisors (see below), whose sum is σ = 51891840. Its totient is φ = 5080320.

The previous prime is 16706003. The next prime is 16706047. The reversal of 16706016 is 61060761.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 235261 + ... + 235331.

It is an arithmetic number, because the mean of its divisors is an integer number (360360).

Almost surely, 216706016 is an apocalyptic number.

16706016 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 16706016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25945920).

16706016 is an abundant number, since it is smaller than the sum of its proper divisors (35185824).

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

16706016 is a wasteful number, since it uses less digits than its factorization.

16706016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 16706016 is about 4087.2993528735. The cubic root of 16706016 is about 255.6373445696.

Adding to 16706016 its reverse (61060761), we get a palindrome (77766777).

The spelling of 16706016 in words is "sixteen million, seven hundred six thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 43 48 57 71 72 76 86 96 114 129 142 144 152 171 172 213 228 258 284 288 304 342 344 387 426 456 516 568 608 639 684 688 774 817 852 912 1032 1136 1278 1349 1368 1376 1548 1634 1704 1824 2064 2272 2451 2556 2698 2736 3053 3096 3268 3408 4047 4128 4902 5112 5396 5472 6106 6192 6536 6816 7353 8094 9159 9804 10224 10792 12141 12212 12384 13072 14706 16188 18318 19608 20448 21584 24282 24424 26144 27477 29412 32376 36636 39216 43168 48564 48848 54954 58007 58824 64752 73272 78432 97128 97696 109908 116014 117648 129504 146544 174021 194256 219816 232028 235296 293088 348042 388512 439632 464056 522063 696084 879264 928112 1044126 1392168 1856224 2088252 2784336 4176504 5568672 8353008 16706016