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483780 = 223511733
BaseRepresentation
bin1110110000111000100
3220120121210
41312013010
5110440110
614211420
74053303
oct1660704
9816553
10483780
11300520
121b3b70
1313c27b
14c843a
1598520
hex761c4

483780 has 48 divisors (see below), whose sum is σ = 1479744. Its totient is φ = 117120.

The previous prime is 483773. The next prime is 483787. The reversal of 483780 is 87384.

It is an interprime number because it is at equal distance from previous prime (483773) and next prime (483787).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 483780.

It is not an unprimeable number, because it can be changed into a prime (483787) by changing a digit.

483780 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 294 + ... + 1026.

It is an arithmetic number, because the mean of its divisors is an integer number (30828).

2483780 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 483780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739872).

483780 is an abundant number, since it is smaller than the sum of its proper divisors (995964).

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

483780 is a wasteful number, since it uses less digits than its factorization.

483780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 483780 is about 695.5429533825. The cubic root of 483780 is about 78.5023462049.

It can be divided in two parts, 48 and 3780, that added together give a triangular number (3828 = T87).

The spelling of 483780 in words is "four hundred eighty-three thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 733 1466 2199 2932 3665 4398 7330 8063 8796 10995 14660 16126 21990 24189 32252 40315 43980 48378 80630 96756 120945 161260 241890 483780