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20730840 = 23351397137
BaseRepresentation
bin100111100010…
…1001111011000
31110000020100220
41033011033120
520301341330
62020200040
7341131524
oct117051730
943006326
1020730840
111077a429
126b39020
1343aac90
142a78d84
151c47710
hex13c53d8

20730840 has 128 divisors (see below), whose sum is σ = 68160960. Its totient is φ = 5013504.

The previous prime is 20730839. The next prime is 20730869. The reversal of 20730840 is 4803702.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20730840.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151252 + ... + 151388.

Almost surely, 220730840 is an apocalyptic number.

20730840 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 20730840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34080480).

20730840 is an abundant number, since it is smaller than the sum of its proper divisors (47430120).

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

20730840 is a wasteful number, since it uses less digits than its factorization.

20730840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 20730840 is about 4553.1132206437. The cubic root of 20730840 is about 274.7086280295.

The spelling of 20730840 in words is "twenty million, seven hundred thirty thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 97 104 120 130 137 156 194 195 260 274 291 312 388 390 411 485 520 548 582 685 776 780 822 970 1096 1164 1261 1370 1455 1560 1644 1781 1940 2055 2328 2522 2740 2910 3288 3562 3783 3880 4110 5044 5343 5480 5820 6305 7124 7566 8220 8905 10088 10686 11640 12610 13289 14248 15132 16440 17810 18915 21372 25220 26578 26715 30264 35620 37830 39867 42744 50440 53156 53430 66445 71240 75660 79734 106312 106860 132890 151320 159468 172757 199335 213720 265780 318936 345514 398670 518271 531560 691028 797340 863785 1036542 1382056 1594680 1727570 2073084 2591355 3455140 4146168 5182710 6910280 10365420 20730840