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855663120 = 2432513113809
BaseRepresentation
bin110011000000000…
…110001000010000
32012122002012010200
4303000012020100
53223022204440
6220523455200
730130005444
oct6300061020
92178065120
10855663120
113a9aaa404
121ba687500
13108371b50
14818d8824
15501bec30
hex33006210

855663120 has 240 divisors, whose sum is σ = 3125893680. Its totient is φ = 208502784.

The previous prime is 855663079. The next prime is 855663131. The reversal of 855663120 is 21366558.

855663120 is a `hidden beast` number, since 85 + 566 + 3 + 12 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 115605504 + 740057616 = 10752^2 + 27204^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1057276 + ... + 1058084.

It is an arithmetic number, because the mean of its divisors is an integer number (13024557).

Almost surely, 2855663120 is an apocalyptic number.

855663120 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 855663120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562946840).

855663120 is an abundant number, since it is smaller than the sum of its proper divisors (2270230560).

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

855663120 is a wasteful number, since it uses less digits than its factorization.

855663120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 855663120 is about 29251.7199494320. The cubic root of 855663120 is about 949.3673054077.

The spelling of 855663120 in words is "eight hundred fifty-five million, six hundred sixty-three thousand, one hundred twenty".