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1860 = 223531
BaseRepresentation
bin11101000100
32112220
4131010
524420
612340
75265
oct3504
92486
101860
111441
1210b0
13b01
1496c
15840
hex744

1860 has 24 divisors (see below), whose sum is σ = 5376. Its totient is φ = 480.

The previous prime is 1847. The next prime is 1861. The reversal of 1860 is 681.

It can be divided in two parts, 18 and 60, that added together give a triangular number (78 = T12).

1860 is nontrivially palindromic in base 11.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 15 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1861) by changing a digit.

1860 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45 + ... + 75.

It is an arithmetic number, because the mean of its divisors is an integer number (224).

21860 is an apocalyptic number.

1860 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 1860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2688).

1860 is an abundant number, since it is smaller than the sum of its proper divisors (3516).

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

1860 is a wasteful number, since it uses less digits than its factorization.

1860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1860 is about 43.1277173057. The cubic root of 1860 is about 12.2980894646.

The spelling of 1860 in words is "one thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1860