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860080 = 24513827
BaseRepresentation
bin11010001111110110000
31121200210211
43101332300
5210010310
630233504
710211344
oct3217660
91550724
10860080
11538211
12355894
13241630
14185624
1511ec8a
hexd1fb0

860080 has 40 divisors (see below), whose sum is σ = 2156112. Its totient is φ = 317184.

The previous prime is 860077. The next prime is 860087. The reversal of 860080 is 80068.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (860087) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 627 + ... + 1453.

2860080 is an apocalyptic number.

860080 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 860080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078056).

860080 is an abundant number, since it is smaller than the sum of its proper divisors (1296032).

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

860080 is a wasteful number, since it uses less digits than its factorization.

860080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 860080 is about 927.4049816558. The cubic root of 860080 is about 95.0998027788.

The spelling of 860080 in words is "eight hundred sixty thousand, eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 827 1040 1654 3308 4135 6616 8270 10751 13232 16540 21502 33080 43004 53755 66160 86008 107510 172016 215020 430040 860080