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63064080 = 2432587589
BaseRepresentation
bin1111000010010…
…0100000010000
311101122222122200
43300210200100
5112121022310
610131403200
71364015202
oct360444020
9141588580
1063064080
1132663a82
1219153500
13100b0831
148538772
15580a9c0
hex3c24810

63064080 has 60 divisors (see below), whose sum is σ = 211792620. Its totient is φ = 16816896.

The previous prime is 63064073. The next prime is 63064087. The reversal of 63064080 is 8046036.

It is an interprime number because it is at equal distance from previous prime (63064073) and next prime (63064087).

It can be written as a sum of positive squares in 2 ways, for example, as 19820304 + 43243776 = 4452^2 + 6576^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is not an unprimeable number, because it can be changed into a prime (63064087) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43075 + ... + 44514.

It is an arithmetic number, because the mean of its divisors is an integer number (3529877).

Almost surely, 263064080 is an apocalyptic number.

63064080 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

63064080 is an abundant number, since it is smaller than the sum of its proper divisors (148728540).

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

63064080 is a wasteful number, since it uses less digits than its factorization.

63064080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87608 (or 87599 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 63064080 is about 7941.2895678221. The cubic root of 63064080 is about 398.0405840621.

The spelling of 63064080 in words is "sixty-three million, sixty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 87589 175178 262767 350356 437945 525534 700712 788301 875890 1051068 1313835 1401424 1576602 1751780 2102136 2627670 3153204 3503560 3941505 4204272 5255340 6306408 7007120 7883010 10510680 12612816 15766020 21021360 31532040 63064080