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805696320 = 263511135869
BaseRepresentation
bin110000000001011…
…111001101000000
32002011001121120110
4300001133031000
53122224240240
6211540511320
725652206602
oct6001371500
92064047513
10805696320
11383881630
121a59ab540
13cabc88b0
147900d172
154aaeec80
hex3005f340

805696320 has 224 divisors, whose sum is σ = 3005815680. Its totient is φ = 180264960.

The previous prime is 805696247. The next prime is 805696337. The reversal of 805696320 is 23696508.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 31 ways as a sum of consecutive naturals, for example, 134346 + ... + 140214.

It is an arithmetic number, because the mean of its divisors is an integer number (13418820).

Almost surely, 2805696320 is an apocalyptic number.

805696320 is a gapful number since it is divisible by the number (80) 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 805696320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1502907840).

805696320 is an abundant number, since it is smaller than the sum of its proper divisors (2200119360).

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

805696320 is a wasteful number, since it uses less digits than its factorization.

805696320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5913 (or 5903 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 805696320 is about 28384.7902933948. The cubic root of 805696320 is about 930.5158890538.

The spelling of 805696320 in words is "eight hundred five million, six hundred ninety-six thousand, three hundred twenty".