Search a number
-
+
673380 = 223352943
BaseRepresentation
bin10100100011001100100
31021012201000
42210121210
5133022010
622233300
75503131
oct2443144
91235630
10673380
1141aa14
12285830
131a7666
14137588
15d47c0
hexa4664

673380 has 96 divisors (see below), whose sum is σ = 2217600. Its totient is φ = 169344.

The previous prime is 673349. The next prime is 673381. The reversal of 673380 is 83376.

It is a happy number.

673380 is nontrivially palindromic in base 11.

673380 is a nontrivial binomial coefficient, being equal to C(1161, 2).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (673381) by changing a digit.

673380 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 31 ways as a sum of consecutive naturals, for example, 15639 + ... + 15681.

It is an arithmetic number, because the mean of its divisors is an integer number (23100).

2673380 is an apocalyptic number.

673380 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

673380 is the 1160-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 673380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1108800).

673380 is an abundant number, since it is smaller than the sum of its proper divisors (1544220).

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

673380 is a wasteful number, since it uses less digits than its factorization.

673380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 673380 is about 820.5973434030. The cubic root of 673380 is about 87.6502995046.

The spelling of 673380 in words is "six hundred seventy-three thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 29 30 36 43 45 54 58 60 86 87 90 108 116 129 135 145 172 174 180 215 258 261 270 290 348 387 430 435 516 522 540 580 645 774 783 860 870 1044 1161 1247 1290 1305 1548 1566 1740 1935 2322 2494 2580 2610 3132 3741 3870 3915 4644 4988 5220 5805 6235 7482 7740 7830 11223 11610 12470 14964 15660 18705 22446 23220 24940 33669 37410 44892 56115 67338 74820 112230 134676 168345 224460 336690 673380