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2066293560 = 2335176831483
BaseRepresentation
bin111101100101001…
…0010001100111000
312100000002120220010
41323022102030320
513212432343220
6541011501520
7102130130322
oct17312221470
95300076803
102066293560
11970406a31
12497bb78a0
1326c118b16
141585d4612
15c160a1e0
hex7b292338

2066293560 has 128 divisors (see below), whose sum is σ = 6577562880. Its totient is φ = 517490688.

The previous prime is 2066293517. The next prime is 2066293589. The reversal of 2066293560 is 653926602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1392579 + ... + 1394061.

It is an arithmetic number, because the mean of its divisors is an integer number (51387210).

Almost surely, 22066293560 is an apocalyptic number.

2066293560 is a gapful number since it is divisible by the number (20) 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 2066293560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3288781440).

2066293560 is an abundant number, since it is smaller than the sum of its proper divisors (4511269320).

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

2066293560 is a wasteful number, since it uses less digits than its factorization.

2066293560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2197 (or 2193 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 39.

The square root of 2066293560 is about 45456.5018451706. The cubic root of 2066293560 is about 1273.6907868347.

The spelling of 2066293560 in words is "two billion, sixty-six million, two hundred ninety-three thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 683 1020 1366 1483 2040 2049 2732 2966 3415 4098 4449 5464 5932 6830 7415 8196 8898 10245 11611 11864 13660 14830 16392 17796 20490 22245 23222 25211 27320 29660 34833 35592 40980 44490 46444 50422 58055 59320 69666 75633 81960 88980 92888 100844 116110 126055 139332 151266 174165 177960 201688 232220 252110 278664 302532 348330 378165 464440 504220 605064 696660 756330 1008440 1012889 1393320 1512660 2025778 3025320 3038667 4051556 5064445 6077334 8103112 10128890 12154668 15193335 17219113 20257780 24309336 30386670 34438226 40515560 51657339 60773340 68876452 86095565 103314678 121546680 137752904 172191130 206629356 258286695 344382260 413258712 516573390 688764520 1033146780 2066293560