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2712030390 = 2335127139569
BaseRepresentation
bin1010000110100110…
…0100110010110110
321000000011102022000
42201221210302312
521023234433030
61125040120130
7124130610066
oct24151446266
97000142260
102712030390
111171963633
12638306046
13342b39514
141ba2853a6
1510d15e860
hexa1a64cb6

2712030390 has 128 divisors (see below), whose sum is σ = 7354368000. Its totient is φ = 711099648.

The previous prime is 2712030361. The next prime is 2712030413. The reversal of 2712030390 is 930302172.

2712030390 is a `hidden beast` number, since 2 + 71 + 203 + 0 + 390 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4766026 + ... + 4766594.

It is an arithmetic number, because the mean of its divisors is an integer number (57456000).

Almost surely, 22712030390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2712030390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3677184000).

2712030390 is an abundant number, since it is smaller than the sum of its proper divisors (4642337610).

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

2712030390 is a wasteful number, since it uses less digits than its factorization.

2712030390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 2712030390 is about 52077.1580445784. The cubic root of 2712030390 is about 1394.5417387122.

The spelling of 2712030390 in words is "two billion, seven hundred twelve million, thirty thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 127 135 139 254 270 278 381 417 569 635 695 762 834 1138 1143 1251 1270 1390 1707 1905 2085 2286 2502 2845 3414 3429 3753 3810 4170 5121 5690 5715 6255 6858 7506 8535 10242 11430 12510 15363 17070 17145 17653 18765 25605 30726 34290 35306 37530 51210 52959 72263 76815 79091 88265 105918 144526 153630 158182 158877 176530 216789 237273 264795 317754 361315 395455 433578 474546 476631 529590 650367 711819 722630 790910 794385 953262 1083945 1186365 1300734 1423638 1588770 1951101 2135457 2167890 2372730 2383155 3251835 3559095 3902202 4270914 4766310 6503670 7118190 9755505 10044557 10677285 19511010 20089114 21354570 30133671 50222785 60267342 90401013 100445570 150668355 180802026 271203039 301336710 452005065 542406078 904010130 1356015195 2712030390