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2112640530 = 2357111370351
BaseRepresentation
bin111110111101100…
…0101011000010010
312110020022020222120
41331323011120102
513311313444110
6545345115110
7103232101560
oct17573053022
95406266876
102112640530
11994592110
124ab628a96
132788c5570
1416081aa30
15c5712870
hex7dec5612

2112640530 has 128 divisors (see below), whose sum is σ = 6807822336. Its totient is φ = 405216000.

The previous prime is 2112640529. The next prime is 2112640561. The reversal of 2112640530 is 350462112.

It is a self number, because there is not a number n which added to its sum of digits gives 2112640530.

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 63 ways as a sum of consecutive naturals, for example, 5146 + ... + 65205.

It is an arithmetic number, because the mean of its divisors is an integer number (53186112).

Almost surely, 22112640530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112640530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3403911168).

2112640530 is an abundant number, since it is smaller than the sum of its proper divisors (4695181806).

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

2112640530 is a wasteful number, since it uses less digits than its factorization.

2112640530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70392.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2112640530 is about 45963.4695165628. The cubic root of 2112640530 is about 1283.1434235577.

The spelling of 2112640530 in words is "two billion, one hundred twelve million, six hundred forty thousand, five hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 13 14 15 21 22 26 30 33 35 39 42 55 65 66 70 77 78 91 105 110 130 143 154 165 182 195 210 231 273 286 330 385 390 429 455 462 546 715 770 858 910 1001 1155 1365 1430 2002 2145 2310 2730 3003 4290 5005 6006 10010 15015 30030 70351 140702 211053 351755 422106 492457 703510 773861 914563 984914 1055265 1477371 1547722 1829126 2110530 2321583 2462285 2743689 2954742 3869305 4572815 4643166 4924570 5417027 5487378 6401941 7386855 7738610 9145630 10060193 10834054 11607915 12803882 13718445 14773710 16251081 19205823 20120386 23215830 27085135 27436890 30180579 32009705 32502162 38411646 50300965 54170270 60361158 64019410 70421351 81255405 96029115 100601930 140842702 150902895 162510810 192058230 211264053 301805790 352106755 422528106 704213510 1056320265 2112640530