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2580120 = 233352389
BaseRepresentation
bin1001110101111010011000
311212002021000
421311322120
51130030440
6131145000
730634134
oct11657230
94762230
102580120
111502534
12a45160
136c44ca
144b23c4
1535e730
hex275e98

2580120 has 64 divisors (see below), whose sum is σ = 8604000. Its totient is φ = 687744.

The previous prime is 2580119. The next prime is 2580131. The reversal of 2580120 is 210852.

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

It is a junction number, because it is equal to n+sod(n) for n = 2580093 and 2580102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115 + ... + 2274.

22580120 is an apocalyptic number.

2580120 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 2580120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4302000).

2580120 is an abundant number, since it is smaller than the sum of its proper divisors (6023880).

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

2580120 is a wasteful number, since it uses less digits than its factorization.

2580120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2409 (or 2399 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 2580120 is about 1606.2751943549. The cubic root of 2580120 is about 137.1555233837.

Adding to 2580120 its reverse (210852), we get a palindrome (2790972).

The spelling of 2580120 in words is "two million, five hundred eighty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 2389 4778 7167 9556 11945 14334 19112 21501 23890 28668 35835 43002 47780 57336 64503 71670 86004 95560 107505 129006 143340 172008 215010 258012 286680 322515 430020 516024 645030 860040 1290060 2580120