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20315280 = 2435471801
BaseRepresentation
bin100110101111…
…1110010010000
31102020010022210
41031133302100
520200042110
62003232120
7334451136
oct115376220
942203283
1020315280
1110516197
126978640
134293a9b
1429ab756
151bb4520
hex135fc90

20315280 has 80 divisors (see below), whose sum is σ = 64353024. Its totient is φ = 5299200.

The previous prime is 20315263. The next prime is 20315287. The reversal of 20315280 is 8251302.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (20315287) 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 15 ways as a sum of consecutive naturals, for example, 10380 + ... + 12180.

Almost surely, 220315280 is an apocalyptic number.

20315280 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 20315280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32176512).

20315280 is an abundant number, since it is smaller than the sum of its proper divisors (44037744).

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

20315280 is a wasteful number, since it uses less digits than its factorization.

20315280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1864 (or 1858 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 20315280 is about 4507.2474970873. The cubic root of 20315280 is about 272.8606676732.

Adding to 20315280 its reverse (8251302), we get a palindrome (28566582).

The spelling of 20315280 in words is "twenty million, three hundred fifteen thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 47 48 60 80 94 120 141 188 235 240 282 376 470 564 705 752 940 1128 1410 1801 1880 2256 2820 3602 3760 5403 5640 7204 9005 10806 11280 14408 18010 21612 27015 28816 36020 43224 54030 72040 84647 86448 108060 144080 169294 216120 253941 338588 423235 432240 507882 677176 846470 1015764 1269705 1354352 1692940 2031528 2539410 3385880 4063056 5078820 6771760 10157640 20315280