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63379920 = 2435264083
BaseRepresentation
bin1111000111000…
…1100111010000
311102021000220110
43301301213100
5112211124140
610142241320
71366502052
oct361614720
9142230813
1063379920
113285a2aa
1219286240
1310191516
1485bb8d2
15586e380
hex3c719d0

63379920 has 40 divisors (see below), whose sum is σ = 196478496. Its totient is φ = 16901248.

The previous prime is 63379919. The next prime is 63379931. The reversal of 63379920 is 2997336.

63379920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

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 7 ways as a sum of consecutive naturals, for example, 131802 + ... + 132281.

Almost surely, 263379920 is an apocalyptic number.

63379920 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

63379920 is an abundant number, since it is smaller than the sum of its proper divisors (133098576).

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

63379920 is a wasteful number, since it uses less digits than its factorization.

63379920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264099 (or 264093 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 39.

The square root of 63379920 is about 7961.1506706003. The cubic root of 63379920 is about 398.7039719804.

The spelling of 63379920 in words is "sixty-three million, three hundred seventy-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 264083 528166 792249 1056332 1320415 1584498 2112664 2640830 3168996 3961245 4225328 5281660 6337992 7922490 10563320 12675984 15844980 21126640 31689960 63379920