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855466320 = 24353564443
BaseRepresentation
bin110010111111010…
…110000101010000
32012121201012011210
4302333112011100
53222444410240
6220515340120
730125225622
oct6277260520
92177635153
10855466320
113a9985565
121ba5b1640
131083033b7
1481886c12
1550181780
hex32fd6150

855466320 has 40 divisors (see below), whose sum is σ = 2651946336. Its totient is φ = 228124288.

The previous prime is 855466303. The next prime is 855466321. The reversal of 855466320 is 23664558.

855466320 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 hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (855466321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1781982 + ... + 1782461.

Almost surely, 2855466320 is an apocalyptic number.

855466320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

855466320 is an abundant number, since it is smaller than the sum of its proper divisors (1796480016).

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

855466320 is a wasteful number, since it uses less digits than its factorization.

855466320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3564459 (or 3564453 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The square root of 855466320 is about 29248.3558512269. The cubic root of 855466320 is about 949.2945159313.

The spelling of 855466320 in words is "eight hundred fifty-five million, four hundred sixty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 3564443 7128886 10693329 14257772 17822215 21386658 28515544 35644430 42773316 53466645 57031088 71288860 85546632 106933290 142577720 171093264 213866580 285155440 427733160 855466320