Search a number
-
+
2010554130 = 2351321723327
BaseRepresentation
bin111011111010110…
…1001111100010010
312012010012201202210
41313311221330102
513104200213010
6531301052550
7100552266564
oct16765517422
95163181683
102010554130
119419a6092
124813b7156
13260701200
14151045334
15bb799b20
hex77d69f12

2010554130 has 96 divisors (see below), whose sum is σ = 5532655104. Its totient is φ = 465773568.

The previous prime is 2010554111. The next prime is 2010554153. The reversal of 2010554130 is 314550102.

It is a junction number, because it is equal to n+sod(n) for n = 2010554097 and 2010554106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74527 + ... + 97853.

It is an arithmetic number, because the mean of its divisors is an integer number (57631824).

Almost surely, 22010554130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010554130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2766327552).

2010554130 is an abundant number, since it is smaller than the sum of its proper divisors (3522100974).

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

2010554130 is a wasteful number, since it uses less digits than its factorization.

2010554130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23380 (or 23367 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 2010554130 is about 44839.2030482256. The cubic root of 2010554130 is about 1262.1333913150.

The spelling of 2010554130 in words is "two billion, ten million, five hundred fifty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 17 26 30 34 39 51 65 78 85 102 130 169 170 195 221 255 338 390 442 507 510 663 845 1014 1105 1326 1690 2210 2535 2873 3315 5070 5746 6630 8619 14365 17238 23327 28730 43095 46654 69981 86190 116635 139962 233270 303251 349905 396559 606502 699810 793118 909753 1189677 1516255 1819506 1982795 2379354 3032510 3942263 3965590 4548765 5155267 5948385 7884526 9097530 10310534 11826789 11896770 15465801 19711315 23653578 25776335 30931602 39422630 51552670 59133945 67018471 77329005 118267890 134036942 154658010 201055413 335092355 402110826 670184710 1005277065 2010554130