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220740 = 223513283
BaseRepresentation
bin110101111001000100
3102012210120
4311321010
524030430
64421540
71606362
oct657104
9365716
10220740
11140933
12a78b0
1379620
145a632
1545610
hex35e44

220740 has 48 divisors (see below), whose sum is σ = 667968. Its totient is φ = 54144.

The previous prime is 220721. The next prime is 220747. The reversal of 220740 is 47022.

220740 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2207402 = 97452295200, which contains 22 as substring.

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

220740 is a modest number, since divided by 740 gives 220 as remainder.

It is not an unprimeable number, because it can be changed into a prime (220747) by changing a digit.

220740 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, 639 + ... + 921.

It is an arithmetic number, because the mean of its divisors is an integer number (13916).

2220740 is an apocalyptic number.

220740 is a gapful number since it is divisible by the number (20) 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 220740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333984).

220740 is an abundant number, since it is smaller than the sum of its proper divisors (447228).

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

220740 is a wasteful number, since it uses less digits than its factorization.

220740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 220740 is about 469.8297564012. The cubic root of 220740 is about 60.4357170734.

Adding to 220740 its reverse (47022), we get a palindrome (267762).

The spelling of 220740 in words is "two hundred twenty thousand, seven hundred forty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 283 390 566 780 849 1132 1415 1698 2830 3396 3679 4245 5660 7358 8490 11037 14716 16980 18395 22074 36790 44148 55185 73580 110370 220740