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20303280 = 24325163173
BaseRepresentation
bin100110101110…
…0110110110000
31102012111212100
41031130312300
520144201110
62003100400
7334401144
oct115346660
942174770
1020303280
1110508178
126971700
13428b49a
1429a7224
151bb0bc0
hex135cdb0

20303280 has 120 divisors (see below), whose sum is σ = 69000048. Its totient is φ = 5349888.

The previous prime is 20303279. The next prime is 20303281. The reversal of 20303280 is 8230302.

It is an interprime number because it is at equal distance from previous prime (20303279) and next prime (20303281).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20303281) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 117274 + ... + 117446.

Almost surely, 220303280 is an apocalyptic number.

20303280 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 20303280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34500024).

20303280 is an abundant number, since it is smaller than the sum of its proper divisors (48696768).

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

20303280 is a wasteful number, since it uses less digits than its factorization.

20303280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 20303280 is about 4505.9161110700. The cubic root of 20303280 is about 272.8069318821.

Adding to 20303280 its reverse (8230302), we get a palindrome (28533582).

The spelling of 20303280 in words is "twenty million, three hundred three thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 163 173 180 240 326 346 360 489 519 652 692 720 815 865 978 1038 1304 1384 1467 1557 1630 1730 1956 2076 2445 2595 2608 2768 2934 3114 3260 3460 3912 4152 4890 5190 5868 6228 6520 6920 7335 7785 7824 8304 9780 10380 11736 12456 13040 13840 14670 15570 19560 20760 23472 24912 28199 29340 31140 39120 41520 56398 58680 62280 84597 112796 117360 124560 140995 169194 225592 253791 281990 338388 422985 451184 507582 563980 676776 845970 1015164 1127960 1268955 1353552 1691940 2030328 2255920 2537910 3383880 4060656 5075820 6767760 10151640 20303280