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63945420 = 223571113841
BaseRepresentation
bin1111001111101…
…1101011001100
311110022202121220
43303323223030
5112332223140
610202323340
71404345540
oct363735314
9143282556
1063945420
1133106160
12194b9550
131032ba36
1486c7a20
155931bd0
hex3cfbacc

63945420 has 96 divisors (see below), whose sum is σ = 223243776. Its totient is φ = 13286400.

The previous prime is 63945391. The next prime is 63945433. The reversal of 63945420 is 2454936.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2301 + ... + 11540.

It is an arithmetic number, because the mean of its divisors is an integer number (2325456).

Almost surely, 263945420 is an apocalyptic number.

63945420 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 63945420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111621888).

63945420 is an abundant number, since it is smaller than the sum of its proper divisors (159298356).

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

63945420 is a wasteful number, since it uses less digits than its factorization.

63945420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13871 (or 13869 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 63945420 is about 7996.5880224006. The cubic root of 63945420 is about 399.8862593274.

The spelling of 63945420 in words is "sixty-three million, nine hundred forty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 105 110 132 140 154 165 210 220 231 308 330 385 420 462 660 770 924 1155 1540 2310 4620 13841 27682 41523 55364 69205 83046 96887 138410 152251 166092 193774 207615 276820 290661 304502 387548 415230 456753 484435 581322 609004 761255 830460 913506 968870 1065757 1162644 1453305 1522510 1827012 1937740 2131514 2283765 2906610 3045020 3197271 4263028 4567530 5328785 5813220 6394542 9135060 10657570 12789084 15986355 21315140 31972710 63945420