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214740 = 223251193
BaseRepresentation
bin110100011011010100
3101220120100
4310123110
523332430
64334100
71553031
oct643324
9356510
10214740
11137379
12a4330
1376986
1458388
1543960
hex346d4

214740 has 36 divisors (see below), whose sum is σ = 651924. Its totient is φ = 57216.

The previous prime is 214733. The next prime is 214741. The reversal of 214740 is 47412.

It is a happy number.

214740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 93636 + 121104 = 306^2 + 348^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×2147402 = 92226535200, which contains 22 as substring.

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

It is a nialpdrome in base 12.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 214740.

It is not an unprimeable number, because it can be changed into a prime (214741) 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, 417 + ... + 776.

It is an arithmetic number, because the mean of its divisors is an integer number (18109).

2214740 is an apocalyptic number.

214740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214740 is an abundant number, since it is smaller than the sum of its proper divisors (437184).

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

214740 is a wasteful number, since it uses less digits than its factorization.

214740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 214740 is about 463.4004747516. The cubic root of 214740 is about 59.8831057434.

It can be divided in two parts, 2147 and 40, that added together give a 7-th power (2187 = 37).

The spelling of 214740 in words is "two hundred fourteen thousand, seven hundred forty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1193 2386 3579 4772 5965 7158 10737 11930 14316 17895 21474 23860 35790 42948 53685 71580 107370 214740