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20730080 = 255783223
BaseRepresentation
bin100111100010…
…1000011100000
31110000012022202
41033011003200
520301330310
62020152332
7341126360
oct117050340
943005282
1020730080
11107798a8
126b386a8
1343aa827
142a789a0
151c473a5
hex13c50e0

20730080 has 96 divisors (see below), whose sum is σ = 56899584. Its totient is φ = 6990336.

The previous prime is 20730079. The next prime is 20730109. The reversal of 20730080 is 8003702.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92849 + ... + 93071.

It is an arithmetic number, because the mean of its divisors is an integer number (592704).

Almost surely, 220730080 is an apocalyptic number.

20730080 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 20730080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28449792).

20730080 is an abundant number, since it is smaller than the sum of its proper divisors (36169504).

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

20730080 is a wasteful number, since it uses less digits than its factorization.

20730080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 20730080 is about 4553.0297605001. The cubic root of 20730080 is about 274.7052710163.

Adding to 20730080 its reverse (8003702), we get a palindrome (28733782).

The spelling of 20730080 in words is "twenty million, seven hundred thirty thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 83 112 140 160 166 223 224 280 332 415 446 560 581 664 830 892 1115 1120 1162 1328 1561 1660 1784 2230 2324 2656 2905 3122 3320 3568 4460 4648 5810 6244 6640 7136 7805 8920 9296 11620 12488 13280 15610 17840 18509 18592 23240 24976 31220 35680 37018 46480 49952 62440 74036 92545 92960 124880 129563 148072 185090 249760 259126 296144 370180 518252 592288 647815 740360 1036504 1295630 1480720 2073008 2591260 2961440 4146016 5182520 10365040 20730080