Search a number
-
+
16930116 = 22327232127
BaseRepresentation
bin100000010010…
…1010101000100
31011212010202100
41000211111010
513313230431
61402512100
7263621640
oct100452504
934763670
1016930116
119613935
125805630
13367a028
142369c20
1517464e6
hex1025544

16930116 has 108 divisors (see below), whose sum is σ = 51530752. Its totient is φ = 4590432.

The previous prime is 16930103. The next prime is 16930117. The reversal of 16930116 is 61103961.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 16930116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16930117) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 133245 + ... + 133371.

Almost surely, 216930116 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 16930116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25765376).

16930116 is an abundant number, since it is smaller than the sum of its proper divisors (34600636).

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

16930116 is a wasteful number, since it uses less digits than its factorization.

16930116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 16930116 is about 4114.6222183817. The cubic root of 16930116 is about 256.7753390008.

The spelling of 16930116 in words is "sixteen million, nine hundred thirty thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 126 127 138 161 207 252 254 276 322 381 414 483 508 529 644 762 828 889 966 1058 1143 1449 1524 1587 1778 1932 2116 2286 2667 2898 2921 3174 3556 3703 4572 4761 5334 5796 5842 6348 7406 8001 8763 9522 10668 11109 11684 14812 16002 17526 19044 20447 22218 26289 32004 33327 35052 40894 44436 52578 61341 66654 67183 81788 105156 122682 133308 134366 184023 201549 245364 268732 368046 403098 470281 604647 736092 806196 940562 1209294 1410843 1881124 2418588 2821686 4232529 5643372 8465058 16930116