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6821053920 = 253254736843
BaseRepresentation
bin1100101101001000…
…10000010111100000
3122121101000102220200
412112210100113200
5102432142211140
63044502505200
7331014000402
oct62644202740
918541012820
106821053920
11299034184a
1213a4435200
138492109a5
14489c98b72
1529dc6d030
hex1969105e0

6821053920 has 72 divisors (see below), whose sum is σ = 23276851416. Its totient is φ = 1818947328.

The previous prime is 6821053909. The next prime is 6821053951. The reversal of 6821053920 is 293501286.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 2366982 + ... + 2369861.

It is an arithmetic number, because the mean of its divisors is an integer number (323289603).

Almost surely, 26821053920 is an apocalyptic number.

6821053920 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6821053920 is an abundant number, since it is smaller than the sum of its proper divisors (16455797496).

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

6821053920 is a wasteful number, since it uses less digits than its factorization.

6821053920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4736864 (or 4736853 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 6821053920 is about 82589.6719935368. The cubic root of 6821053920 is about 1896.4897255495.

The spelling of 6821053920 in words is "six billion, eight hundred twenty-one million, fifty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 4736843 9473686 14210529 18947372 23684215 28421058 37894744 42631587 47368430 56842116 71052645 75789488 85263174 94736860 113684232 142105290 151578976 170526348 189473720 213157935 227368464 284210580 341052696 378947440 426315870 454736928 568421160 682105392 757894880 852631740 1136842320 1364210784 1705263480 2273684640 3410526960 6821053920