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860520960 = 2932513317
BaseRepresentation
bin110011010010101…
…000001000000000
32012222012222211200
4303102220020000
53230243132320
6221215541200
730216210315
oct6322501000
92188188750
10860520960
11401818152
1220022a800
13109383000
1482400d0c
155082e290
hex334a8200

860520960 has 480 divisors, whose sum is σ = 3418374960. Its totient is φ = 199360512.

The previous prime is 860520949. The next prime is 860521021. The reversal of 860520960 is 69025068.

It can be written as a sum of positive squares in 8 ways, for example, as 11614464 + 848906496 = 3408^2 + 29136^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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

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, 50618872 + ... + 50618888.

Almost surely, 2860520960 is an apocalyptic number.

860520960 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 860520960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709187480).

860520960 is an abundant number, since it is smaller than the sum of its proper divisors (2557854000).

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

860520960 is a wasteful number, since it uses less digits than its factorization.

860520960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 40 counting only the distinct ones).

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

The square root of 860520960 is about 29334.6375467637. The cubic root of 860520960 is about 951.1605244722.

The spelling of 860520960 in words is "eight hundred sixty million, five hundred twenty thousand, nine hundred sixty".