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20799300 = 22352194189
BaseRepresentation
bin100111101010…
…1111101000100
31110010201021110
41033111331010
520311034200
62021445020
7341535234
oct117257504
943121243
1020799300
1110816905
126b70770
1344031a2
142a95cc4
151c5cb50
hex13d5f44

20799300 has 144 divisors (see below), whose sum is σ = 65620800. Its totient is φ = 5068800.

The previous prime is 20799299. The next prime is 20799307. The reversal of 20799300 is 399702.

It is a super-2 number, since 2×207993002 = 865221760980000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (20799307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 233656 + ... + 233744.

It is an arithmetic number, because the mean of its divisors is an integer number (455700).

Almost surely, 220799300 is an apocalyptic number.

20799300 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 20799300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32810400).

20799300 is an abundant number, since it is smaller than the sum of its proper divisors (44821500).

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

20799300 is a wasteful number, since it uses less digits than its factorization.

20799300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 30.

The square root of 20799300 is about 4560.6249571742. The cubic root of 20799300 is about 275.0106882898.

The spelling of 20799300 in words is "twenty million, seven hundred ninety-nine thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 41 50 57 60 75 76 82 89 95 100 114 123 150 164 178 190 205 228 246 267 285 300 356 380 410 445 475 492 534 570 615 779 820 890 950 1025 1068 1140 1230 1335 1425 1558 1691 1780 1900 2050 2225 2337 2460 2670 2850 3075 3116 3382 3649 3895 4100 4450 4674 5073 5340 5700 6150 6675 6764 7298 7790 8455 8900 9348 10146 10947 11685 12300 13350 14596 15580 16910 18245 19475 20292 21894 23370 25365 26700 33820 36490 38950 42275 43788 46740 50730 54735 58425 69331 72980 77900 84550 91225 101460 109470 116850 126825 138662 169100 182450 207993 218940 233700 253650 273675 277324 346655 364900 415986 507300 547350 693310 831972 1039965 1094700 1386620 1733275 2079930 3466550 4159860 5199825 6933100 10399650 20799300