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63420800 = 275219819
BaseRepresentation
bin1111000111101…
…1100110000000
311102100002222112
43301323212000
5112213431200
610143154452
71400032202
oct361734600
9142302875
1063420800
1132887a93
12192a5a28
13101a7001
1485cc772
15587b535
hex3c7b980

63420800 has 48 divisors (see below), whose sum is σ = 156677100. Its totient is φ = 25367040.

The previous prime is 63420787. The next prime is 63420853. The reversal of 63420800 is 802436.

It is a happy number.

63420800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 6710 + ... + 13109.

Almost surely, 263420800 is an apocalyptic number.

It is an amenable number.

63420800 is an abundant number, since it is smaller than the sum of its proper divisors (93256300).

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

63420800 is a wasteful number, since it uses less digits than its factorization.

63420800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19843 (or 19826 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 63420800 is about 7963.7177247816. The cubic root of 63420800 is about 398.7896748094.

The spelling of 63420800 in words is "sixty-three million, four hundred twenty thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1600 3200 19819 39638 79276 99095 158552 198190 317104 396380 495475 634208 792760 990950 1268416 1585520 1981900 2536832 3171040 3963800 6342080 7927600 12684160 15855200 31710400 63420800