Search a number
-
+
16930992 = 2431343631
BaseRepresentation
bin100000010010…
…1100010110000
31011212011221210
41000211202300
513313242432
61402520120
7263624331
oct100454260
934764853
1016930992
119614561
125806040
13367a550
14236a288
1517468cc
hex10258b0

16930992 has 80 divisors (see below), whose sum is σ = 48274688. Its totient is φ = 5080320.

The previous prime is 16930943. The next prime is 16930993. The reversal of 16930992 is 29903961.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 16930992.

It is not an unprimeable number, because it can be changed into a prime (16930993) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26517 + ... + 27147.

Almost surely, 216930992 is an apocalyptic number.

16930992 is a gapful number since it is divisible by the number (12) 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 16930992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24137344).

16930992 is an abundant number, since it is smaller than the sum of its proper divisors (31343696).

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

16930992 is a wasteful number, since it uses less digits than its factorization.

16930992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 39.

The square root of 16930992 is about 4114.7286666316. The cubic root of 16930992 is about 256.7797676241.

The spelling of 16930992 in words is "sixteen million, nine hundred thirty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 43 48 52 78 86 104 129 156 172 208 258 312 344 516 559 624 631 688 1032 1118 1262 1677 1893 2064 2236 2524 3354 3786 4472 5048 6708 7572 8203 8944 10096 13416 15144 16406 24609 26832 27133 30288 32812 49218 54266 65624 81399 98436 108532 131248 162798 196872 217064 325596 352729 393744 434128 651192 705458 1058187 1302384 1410916 2116374 2821832 4232748 5643664 8465496 16930992