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16768296 = 2334113229
BaseRepresentation
bin111111111101…
…110100101000
31011112220210000
4333331310220
513243041141
61355223000
7262346106
oct77756450
934486700
1016768296
1195132a6
125747a60
13362148c
142326c76
1517135b6
hexffdd28

16768296 has 80 divisors (see below), whose sum is σ = 47589300. Its totient is φ = 5515776.

The previous prime is 16768277. The next prime is 16768309. The reversal of 16768296 is 69286761.

It can be written as a sum of positive squares in 2 ways, for example, as 16695396 + 72900 = 4086^2 + 270^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 73110 + ... + 73338.

Almost surely, 216768296 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 16768296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23794650).

16768296 is an abundant number, since it is smaller than the sum of its proper divisors (30821004).

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

16768296 is a wasteful number, since it uses less digits than its factorization.

16768296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 347 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 16768296 is about 4094.9109880436. The cubic root of 16768296 is about 255.9546224909.

The spelling of 16768296 in words is "sixteen million, seven hundred sixty-eight thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 113 162 216 226 229 324 339 452 458 648 678 687 904 916 1017 1356 1374 1832 2034 2061 2712 2748 3051 4068 4122 5496 6102 6183 8136 8244 9153 12204 12366 16488 18306 18549 24408 24732 25877 36612 37098 49464 51754 73224 74196 77631 103508 148392 155262 207016 232893 310524 465786 621048 698679 931572 1397358 1863144 2096037 2794716 4192074 5589432 8384148 16768296