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16929792 = 2103211167
BaseRepresentation
bin100000010010…
…1010000000000
31011212010022100
41000211100000
513313223132
61402510400
7263620665
oct100452000
934763270
1016929792
119613670
125805400
133679b39
142369a6c
15174637c
hex1025400

16929792 has 132 divisors (see below), whose sum is σ = 53647776. Its totient is φ = 5099520.

The previous prime is 16929769. The next prime is 16929799. The reversal of 16929792 is 29792961.

It is a tau number, because it is divible by the number of its divisors (132).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16929799) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101293 + ... + 101459.

Almost surely, 216929792 is an apocalyptic number.

16929792 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 16929792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26823888).

16929792 is an abundant number, since it is smaller than the sum of its proper divisors (36717984).

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

16929792 is a wasteful number, since it uses less digits than its factorization.

16929792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 183 counting only the distinct ones).

The product of its digits is 122472, while the sum is 45.

The square root of 16929792 is about 4114.5828464135. The cubic root of 16929792 is about 256.7737009781.

The spelling of 16929792 in words is "sixteen million, nine hundred twenty-nine thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 167 176 192 198 256 264 288 334 352 384 396 501 512 528 576 668 704 768 792 1002 1024 1056 1152 1336 1408 1503 1536 1584 1837 2004 2112 2304 2672 2816 3006 3072 3168 3674 4008 4224 4608 5344 5511 5632 6012 6336 7348 8016 8448 9216 10688 11022 11264 12024 12672 14696 16032 16533 16896 21376 22044 24048 25344 29392 32064 33066 33792 42752 44088 48096 50688 58784 64128 66132 85504 88176 96192 101376 117568 128256 132264 171008 176352 192384 235136 256512 264528 352704 384768 470272 513024 529056 705408 769536 940544 1058112 1410816 1539072 1881088 2116224 2821632 4232448 5643264 8464896 16929792