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16530640 = 245724217
BaseRepresentation
bin111111000011…
…110011010000
31011002211202221
4333003303100
513212440030
61350150424
7260336200
oct77036320
934084687
1016530640
119370795
125652414
13356a259
1422a4400
1516b7e7a
hexfc3cd0

16530640 has 60 divisors (see below), whose sum is σ = 44719236. Its totient is φ = 5666304.

The previous prime is 16530623. The next prime is 16530653. The reversal of 16530640 is 4603561.

It can be written as a sum of positive squares in 2 ways, for example, as 10732176 + 5798464 = 3276^2 + 2408^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1812 + ... + 6028.

Almost surely, 216530640 is an apocalyptic number.

16530640 is a gapful number since it is divisible by the number (10) 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 16530640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22359618).

16530640 is an abundant number, since it is smaller than the sum of its proper divisors (28188596).

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

16530640 is a wasteful number, since it uses less digits than its factorization.

16530640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4244 (or 4231 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 16530640 is about 4065.7889763243. The cubic root of 16530640 is about 254.7396548315.

The spelling of 16530640 in words is "sixteen million, five hundred thirty thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 560 784 980 1960 3920 4217 8434 16868 21085 29519 33736 42170 59038 67472 84340 118076 147595 168680 206633 236152 295190 337360 413266 472304 590380 826532 1033165 1180760 1653064 2066330 2361520 3306128 4132660 8265320 16530640