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423780 = 223571009
BaseRepresentation
bin1100111011101100100
3210112022120
41213131210
5102030110
613025540
73413340
oct1473544
9715276
10423780
1126a435
121852b0
1311ab76
14b0620
1585870
hex67764

423780 has 48 divisors (see below), whose sum is σ = 1357440. Its totient is φ = 96768.

The previous prime is 423779. The next prime is 423781. The reversal of 423780 is 87324.

It is an interprime number because it is at equal distance from previous prime (423779) and next prime (423781).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 423780.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 423780.

It is not an unprimeable number, because it can be changed into a prime (423781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85 + ... + 924.

It is an arithmetic number, because the mean of its divisors is an integer number (28280).

2423780 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 423780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678720).

423780 is an abundant number, since it is smaller than the sum of its proper divisors (933660).

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

423780 is a wasteful number, since it uses less digits than its factorization.

423780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 423780 is about 650.9838707679. The cubic root of 423780 is about 75.1127193952.

The spelling of 423780 in words is "four hundred twenty-three thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 1009 2018 3027 4036 5045 6054 7063 10090 12108 14126 15135 20180 21189 28252 30270 35315 42378 60540 70630 84756 105945 141260 211890 423780