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63240840 = 233251313513
BaseRepresentation
bin1111000100111…
…1101010001000
311101222222010100
43301033222020
5112142201330
610135245400
71365352425
oct361175210
9141888110
1063240840
1132774863
1219219860
1310143120
148582d4c
155843060
hex3c4fa88

63240840 has 96 divisors (see below), whose sum is σ = 221359320. Its totient is φ = 15565824.

The previous prime is 63240811. The next prime is 63240841. The reversal of 63240840 is 4804236.

63240840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 40373316 + 22867524 = 6354^2 + 4782^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (63240841) 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, 2077 + ... + 11436.

Almost surely, 263240840 is an apocalyptic number.

63240840 is a gapful number since it is divisible by the number (60) 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 63240840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110679660).

63240840 is an abundant number, since it is smaller than the sum of its proper divisors (158118480).

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

63240840 is a wasteful number, since it uses less digits than its factorization.

63240840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13543 (or 13536 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 63240840 is about 7952.4109551758. The cubic root of 63240840 is about 398.4121216131.

The spelling of 63240840 in words is "sixty-three million, two hundred forty thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 13513 27026 40539 54052 67565 81078 108104 121617 135130 162156 175669 202695 243234 270260 324312 351338 405390 486468 527007 540520 608085 702676 810780 878345 972936 1054014 1216170 1405352 1581021 1621560 1756690 2108028 2432340 2635035 3162042 3513380 4216056 4864680 5270070 6324084 7026760 7905105 10540140 12648168 15810210 21080280 31620420 63240840