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2016026430 = 2351117221139
BaseRepresentation
bin111100000101010…
…0001111100111110
312012111111202100120
41320022201330332
513112100321210
6532014235410
7100646641035
oct17012417476
95174452316
102016026430
11944aa3550
124831b5b66
13261898c62
14151a6b71c
15bbecb270
hex782a1f3e

2016026430 has 96 divisors (see below), whose sum is σ = 5607342720. Its totient is φ = 459962880.

The previous prime is 2016026387. The next prime is 2016026443. The reversal of 2016026430 is 346206102.

2016026430 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2016026430.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84801 + ... + 105939.

It is an arithmetic number, because the mean of its divisors is an integer number (58409820).

Almost surely, 22016026430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2016026430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2803671360).

2016026430 is an abundant number, since it is smaller than the sum of its proper divisors (3591316290).

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

2016026430 is a wasteful number, since it uses less digits than its factorization.

2016026430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21194 (or 21177 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 2016026430 is about 44900.1829617653. The cubic root of 2016026430 is about 1263.2774400556.

The spelling of 2016026430 in words is "two billion, sixteen million, twenty-six thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 17 22 30 33 34 51 55 66 85 102 110 165 170 187 255 289 330 374 510 561 578 867 935 1122 1445 1734 1870 2805 2890 3179 4335 5610 6358 8670 9537 15895 19074 21139 31790 42278 47685 63417 95370 105695 126834 211390 232529 317085 359363 465058 634170 697587 718726 1078089 1162645 1395174 1796815 2156178 2325290 3487935 3593630 3952993 5390445 6109171 6975870 7905986 10780890 11858979 12218342 18327513 19764965 23717958 30545855 36655026 39529930 59294895 61091710 67200881 91637565 118589790 134401762 183275130 201602643 336004405 403205286 672008810 1008013215 2016026430