Search a number
-
+
16946982 = 234132619
BaseRepresentation
bin100000010100…
…1011100100110
31011212222220000
41000221130212
513314300412
61403122130
7264022053
oct100513446
934788800
1016946982
119625578
125813346
133684900
14237202a
15174b4dc
hex1029726

16946982 has 60 divisors (see below), whose sum is σ = 41185980. Its totient is φ = 5206032.

The previous prime is 16946971. The next prime is 16947013. The reversal of 16946982 is 28964961.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 27069 + ... + 27687.

It is an arithmetic number, because the mean of its divisors is an integer number (686433).

Almost surely, 216946982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16946982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20592990).

16946982 is an abundant number, since it is smaller than the sum of its proper divisors (24238998).

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

16946982 is a wasteful number, since it uses less digits than its factorization.

16946982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 637 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 16946982 is about 4116.6712280676. The cubic root of 16946982 is about 256.8605783368.

The spelling of 16946982 in words is "sixteen million, nine hundred forty-six thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 169 234 338 351 507 619 702 1014 1053 1238 1521 1857 2106 3042 3714 4563 5571 8047 9126 11142 13689 16094 16713 24141 27378 33426 48282 50139 72423 100278 104611 144846 209222 217269 313833 434538 627666 651807 941499 1303614 1882998 2824497 5648994 8473491 16946982