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20387600 = 245250969
BaseRepresentation
bin100110111000…
…1011100010000
31102100210112022
41031301130100
520204400400
62004551012
7335202032
oct115613420
942323468
1020387600
1110565562
1269b2468
1342ba98c
1429c9c52
151bcab85
hex1371710

20387600 has 30 divisors (see below), whose sum is σ = 48982170. Its totient is φ = 8154880.

The previous prime is 20387561. The next prime is 20387611. The reversal of 20387600 is 678302.

It can be written as a sum of positive squares in 3 ways, for example, as 65536 + 20322064 = 256^2 + 4508^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 20387600.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 25085 + ... + 25884.

It is an arithmetic number, because the mean of its divisors is an integer number (1632739).

Almost surely, 220387600 is an apocalyptic number.

20387600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20387600 is an abundant number, since it is smaller than the sum of its proper divisors (28594570).

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

20387600 is a wasteful number, since it uses less digits than its factorization.

20387600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50987 (or 50976 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 20387600 is about 4515.2630045214. The cubic root of 20387600 is about 273.1840681487.

The spelling of 20387600 in words is "twenty million, three hundred eighty-seven thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 50969 101938 203876 254845 407752 509690 815504 1019380 1274225 2038760 2548450 4077520 5096900 10193800 20387600