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16663416 = 23371171127
BaseRepresentation
bin111111100100…
…001101111000
31011100120220120
4333210031320
513231212131
61353053240
7261431250
oct77441570
934316816
1016663416
119451520
1256b7220
1335b5813
1422da960
1516e2496
hexfe4378

16663416 has 128 divisors (see below), whose sum is σ = 53084160. Its totient is φ = 4233600.

The previous prime is 16663397. The next prime is 16663421. The reversal of 16663416 is 61436661.

It is a Harshad number since it is a multiple of its sum of digits (33).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131145 + ... + 131271.

It is an arithmetic number, because the mean of its divisors is an integer number (414720).

Almost surely, 216663416 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 16663416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26542080).

16663416 is an abundant number, since it is smaller than the sum of its proper divisors (36420744).

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

16663416 is a wasteful number, since it uses less digits than its factorization.

16663416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 221 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 16663416 is about 4082.0847614914. The cubic root of 16663416 is about 255.4198696079.

The spelling of 16663416 in words is "sixteen million, six hundred sixty-three thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 71 77 84 88 127 132 142 154 168 213 231 254 264 284 308 381 426 462 497 508 568 616 762 781 852 889 924 994 1016 1397 1491 1524 1562 1704 1778 1848 1988 2343 2667 2794 2982 3048 3124 3556 3976 4191 4686 5334 5467 5588 5964 6248 7112 8382 9017 9372 9779 10668 10934 11176 11928 16401 16764 18034 18744 19558 21336 21868 27051 29337 32802 33528 36068 39116 43736 54102 58674 63119 65604 72136 78232 99187 108204 117348 126238 131208 189357 198374 216408 234696 252476 297561 378714 396748 504952 595122 694309 757428 793496 1190244 1388618 1514856 2082927 2380488 2777236 4165854 5554472 8331708 16663416