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2860080 = 243517701
BaseRepresentation
bin1010111010010000110000
312101022021220
422322100300
51213010310
6141145040
733211266
oct12722060
95338256
102860080
111683903
12b5b180
13791a72
14546436
153b7670
hex2ba430

2860080 has 80 divisors (see below), whose sum is σ = 9401184. Its totient is φ = 716800.

The previous prime is 2860061. The next prime is 2860087. The reversal of 2860080 is 800682.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2860080.

It is not an unprimeable number, because it can be changed into a prime (2860087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3730 + ... + 4430.

22860080 is an apocalyptic number.

2860080 is a gapful number since it is divisible by the number (20) 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 2860080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4700592).

2860080 is an abundant number, since it is smaller than the sum of its proper divisors (6541104).

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

2860080 is a wasteful number, since it uses less digits than its factorization.

2860080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 2860080 is about 1691.1771048592. The cubic root of 2860080 is about 141.9469483764.

It can be divided in two parts, 28600 and 80, that added together give a triangular number (28680 = T239).

The spelling of 2860080 in words is "two million, eight hundred sixty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 701 816 1020 1360 1402 2040 2103 2804 3505 4080 4206 5608 7010 8412 10515 11216 11917 14020 16824 21030 23834 28040 33648 35751 42060 47668 56080 59585 71502 84120 95336 119170 143004 168240 178755 190672 238340 286008 357510 476680 572016 715020 953360 1430040 2860080