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16679312 = 2413175389
BaseRepresentation
bin111111101000…
…000110010000
31011101101201022
4333220012100
513232214222
61353255012
7261525506
oct77500620
934341638
1016679312
119462461
125704468
1335bcb20
142302676
1516e7042
hexfe8190

16679312 has 80 divisors (see below), whose sum is σ = 37966320. Its totient is φ = 7028736.

The previous prime is 16679303. The next prime is 16679323. The reversal of 16679312 is 21397661.

It can be written as a sum of positive squares in 8 ways, for example, as 163216 + 16516096 = 404^2 + 4064^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187364 + ... + 187452.

It is an arithmetic number, because the mean of its divisors is an integer number (474579).

Almost surely, 216679312 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 16679312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18983160).

16679312 is an abundant number, since it is smaller than the sum of its proper divisors (21287008).

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

16679312 is a wasteful number, since it uses less digits than its factorization.

16679312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 174 counting only the distinct ones).

The product of its digits is 13608, while the sum is 35.

The square root of 16679312 is about 4084.0313417015. The cubic root of 16679312 is about 255.5010627213.

The spelling of 16679312 in words is "sixteen million, six hundred seventy-nine thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 17 26 34 52 53 68 89 104 106 136 178 208 212 221 272 356 424 442 689 712 848 884 901 1157 1378 1424 1513 1768 1802 2314 2756 3026 3536 3604 4628 4717 5512 6052 7208 9256 9434 11024 11713 12104 14416 18512 18868 19669 23426 24208 37736 39338 46852 61321 75472 78676 80189 93704 122642 157352 160378 187408 245284 314704 320756 490568 641512 981136 1042457 1283024 2084914 4169828 8339656 16679312