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20300640 = 253542293
BaseRepresentation
bin100110101110…
…0001101100000
31102012101020120
41031130031200
520144110030
62003040240
7334360353
oct115341540
942171216
1020300640
1110506198
126970080
13428a219
1429a629a
151bb0010
hex135c360

20300640 has 48 divisors (see below), whose sum is σ = 63948528. Its totient is φ = 5413376.

The previous prime is 20300627. The next prime is 20300647. The reversal of 20300640 is 4600302.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20300647) 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 7 ways as a sum of consecutive naturals, for example, 20667 + ... + 21626.

It is an arithmetic number, because the mean of its divisors is an integer number (1332261).

Almost surely, 220300640 is an apocalyptic number.

20300640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20300640 is an abundant number, since it is smaller than the sum of its proper divisors (43647888).

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

20300640 is a wasteful number, since it uses less digits than its factorization.

20300640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42311 (or 42303 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 20300640 is about 4505.6231533496. The cubic root of 20300640 is about 272.7951071668.

Adding to 20300640 its reverse (4600302), we get a palindrome (24900942).

The spelling of 20300640 in words is "twenty million, three hundred thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 42293 84586 126879 169172 211465 253758 338344 422930 507516 634395 676688 845860 1015032 1268790 1353376 1691720 2030064 2537580 3383440 4060128 5075160 6766880 10150320 20300640