Search a number
-
+
1223280 = 243251699
BaseRepresentation
bin100101010101001110000
32022011000200
410222221300
5303121110
642115200
713253262
oct4525160
92264020
101223280
11766083
124abb00
1333aa46
1423bb32
151926c0
hex12aa70

1223280 has 60 divisors (see below), whose sum is σ = 4110600. Its totient is φ = 326016.

The previous prime is 1223279. The next prime is 1223281. The reversal of 1223280 is 823221.

It is a happy number.

1223280 is nontrivially palindromic in base 14.

It is an interprime number because it is at equal distance from previous prime (1223279) and next prime (1223281).

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1223281) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 130 + ... + 1569.

It is an arithmetic number, because the mean of its divisors is an integer number (68510).

21223280 is an apocalyptic number.

1223280 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 1223280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2055300).

1223280 is an abundant number, since it is smaller than the sum of its proper divisors (2887320).

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

1223280 is a wasteful number, since it uses less digits than its factorization.

1223280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1718 (or 1709 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1223280 is about 1106.0198913220. The cubic root of 1223280 is about 106.9486462746.

The spelling of 1223280 in words is "one million, two hundred twenty-three thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1699 3398 5097 6796 8495 10194 13592 15291 16990 20388 25485 27184 30582 33980 40776 50970 61164 67960 76455 81552 101940 122328 135920 152910 203880 244656 305820 407760 611640 1223280