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20851360 = 255194
BaseRepresentation
bin100111110001…
…0101010100000
31110020100200121
41033202222200
520314220420
62022530024
7342143065
oct117425240
943210617
1020851360
1110851a32
126b96914
134420aaa
142aaac6c
151c6d2aa
hex13e2aa0

20851360 has 60 divisors (see below), whose sum is σ = 51998058. Its totient is φ = 7901568.

The previous prime is 20851331. The next prime is 20851361. The reversal of 20851360 is 6315802.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 18766224 + 2085136 = 4332^2 + 1444^2 .

It is not an unprimeable number, because it can be changed into a prime (20851361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1097431 + ... + 1097449.

Almost surely, 220851360 is an apocalyptic number.

20851360 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 20851360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25999029).

20851360 is an abundant number, since it is smaller than the sum of its proper divisors (31146698).

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

20851360 is an frugal number, since it uses more digits than its factorization.

20851360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 20851360 is about 4566.3289412831. The cubic root of 20851360 is about 275.2399448508.

Multiplying 20851360 by its product of nonzero digits (1440), we get a square (30025958400 = 1732802).

The spelling of 20851360 in words is "twenty million, eight hundred fifty-one thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 361 380 608 722 760 1444 1520 1805 2888 3040 3610 5776 6859 7220 11552 13718 14440 27436 28880 34295 54872 57760 68590 109744 130321 137180 219488 260642 274360 521284 548720 651605 1042568 1097440 1303210 2085136 2606420 4170272 5212840 10425680 20851360