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20740680 = 23325173389
BaseRepresentation
bin100111100011…
…1101001001000
31110000201212100
41033013221020
520302200210
62020313400
7341202312
oct117075110
943021770
1020740680
1110786864
126b42860
1343b25bc
142a7c7b2
151c4a5c0
hex13c7a48

20740680 has 96 divisors (see below), whose sum is σ = 71393400. Its totient is φ = 5203968.

The previous prime is 20740679. The next prime is 20740691. The reversal of 20740680 is 8604702.

It can be written as a sum of positive squares in 4 ways, for example, as 20738916 + 1764 = 4554^2 + 42^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4426 + ... + 7814.

Almost surely, 220740680 is an apocalyptic number.

20740680 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 20740680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35696700).

20740680 is an abundant number, since it is smaller than the sum of its proper divisors (50652720).

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

20740680 is a wasteful number, since it uses less digits than its factorization.

20740680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3423 (or 3416 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 20740680 is about 4554.1936717711. The cubic root of 20740680 is about 274.7520851097.

The spelling of 20740680 in words is "twenty million, seven hundred forty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 510 612 680 765 1020 1224 1530 2040 3060 3389 6120 6778 10167 13556 16945 20334 27112 30501 33890 40668 50835 57613 61002 67780 81336 101670 115226 122004 135560 152505 172839 203340 230452 244008 288065 305010 345678 406680 460904 518517 576130 610020 691356 864195 1037034 1152260 1220040 1382712 1728390 2074068 2304520 2592585 3456780 4148136 5185170 6913560 10370340 20740680