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1720080 = 243252389
BaseRepresentation
bin110100011111100010000
310020101111200
412203330100
5420020310
6100511200
720422545
oct6437420
93211450
101720080
11a7535a
126ab500
13482bcb
1432abcc
1523e9c0
hex1a3f10

1720080 has 60 divisors (see below), whose sum is σ = 5779020. Its totient is φ = 458496.

The previous prime is 1720063. The next prime is 1720109. The reversal of 1720080 is 800271.

It can be written as a sum of positive squares in 2 ways, for example, as 501264 + 1218816 = 708^2 + 1104^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 475 + ... + 1914.

It is an arithmetic number, because the mean of its divisors is an integer number (96317).

21720080 is an apocalyptic number.

1720080 is a gapful number since it is divisible by the number (10) 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 1720080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2889510).

1720080 is an abundant number, since it is smaller than the sum of its proper divisors (4058940).

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

1720080 is a wasteful number, since it uses less digits than its factorization.

1720080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2408 (or 2399 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 1720080 is about 1311.5182042198. The cubic root of 1720080 is about 119.8163858587.

The spelling of 1720080 in words is "one million, seven hundred twenty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 2389 4778 7167 9556 11945 14334 19112 21501 23890 28668 35835 38224 43002 47780 57336 71670 86004 95560 107505 114672 143340 172008 191120 215010 286680 344016 430020 573360 860040 1720080