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63920128 = 21123259
BaseRepresentation
bin1111001111010…
…1100000000000
311110021110221011
43303311200000
5112330421003
610202010304
71404212026
oct363654000
9143243834
1063920128
1133099158
12194a6994
131032037c
1486bc716
15592946d
hex3cf5800

63920128 has 72 divisors (see below), whose sum is σ = 135872100. Its totient is φ = 30052352.

The previous prime is 63920117. The next prime is 63920137. The reversal of 63920128 is 82102936.

It is a self number, because there is not a number n which added to its sum of digits gives 63920128.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 1083363 + ... + 1083421.

Almost surely, 263920128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63920128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67936050).

63920128 is an abundant number, since it is smaller than the sum of its proper divisors (71951972).

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

63920128 is an equidigital number, since it uses as much as digits as its factorization.

63920128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 63920128 is about 7995.0064415234. The cubic root of 63920128 is about 399.8335307296.

The spelling of 63920128 in words is "sixty-three million, nine hundred twenty thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 23 32 46 59 64 92 118 128 184 236 256 368 472 512 529 736 944 1024 1058 1357 1472 1888 2048 2116 2714 2944 3776 4232 5428 5888 7552 8464 10856 11776 15104 16928 21712 23552 30208 31211 33856 43424 47104 60416 62422 67712 86848 120832 124844 135424 173696 249688 270848 347392 499376 541696 694784 998752 1083392 1389568 1997504 2779136 3995008 7990016 15980032 31960064 63920128