Search a number
-
+
16790046 = 23721323191
BaseRepresentation
bin100000000001…
…1001000011110
31011121000121120
41000003020132
513244240141
61355511410
7262466400
oct100031036
934530546
1016790046
119528679
125758566
13362b350
142330b70
151719c66
hex100321e

16790046 has 96 divisors (see below), whose sum is σ = 44126208. Its totient is φ = 4213440.

The previous prime is 16790027. The next prime is 16790047. The reversal of 16790046 is 64009761.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 16789989 and 16790016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16790047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87811 + ... + 88001.

It is an arithmetic number, because the mean of its divisors is an integer number (459648).

Almost surely, 216790046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16790046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22063104).

16790046 is an abundant number, since it is smaller than the sum of its proper divisors (27336162).

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

16790046 is a wasteful number, since it uses less digits than its factorization.

16790046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 16790046 is about 4097.5658628020. The cubic root of 16790046 is about 256.0652401271.

The spelling of 16790046 in words is "sixteen million, seven hundred ninety thousand, forty-six".

Divisors: 1 2 3 6 7 13 14 21 23 26 39 42 46 49 69 78 91 98 138 147 161 182 191 273 294 299 322 382 483 546 573 598 637 897 966 1127 1146 1274 1337 1794 1911 2093 2254 2483 2674 3381 3822 4011 4186 4393 4966 6279 6762 7449 8022 8786 9359 12558 13179 14651 14898 17381 18718 26358 28077 29302 30751 34762 43953 52143 56154 57109 61502 87906 92253 104286 114218 121667 171327 184506 215257 243334 342654 365001 399763 430514 645771 730002 799526 1199289 1291542 2398578 2798341 5596682 8395023 16790046