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213744 = 2436173
BaseRepresentation
bin110100001011110000
3101212012110
4310023300
523314434
64325320
71550106
oct641360
9355173
10213744
11136653
12a3840
137639b
1457c76
15434e9
hex342f0

213744 has 40 divisors (see below), whose sum is σ = 568912. Its totient is φ = 69120.

The previous prime is 213737. The next prime is 213751. The reversal of 213744 is 447312.

It is an interprime number because it is at equal distance from previous prime (213737) and next prime (213751).

It is a self number, because there is not a number n which added to its sum of digits gives 213744.

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 213744.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2892 + ... + 2964.

2213744 is an apocalyptic number.

213744 is a gapful number since it is divisible by the number (24) 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 213744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284456).

213744 is an abundant number, since it is smaller than the sum of its proper divisors (355168).

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

213744 is a wasteful number, since it uses less digits than its factorization.

213744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 139 counting only the distinct ones).

The product of its digits is 672, while the sum is 21.

The square root of 213744 is about 462.3245613203. The cubic root of 213744 is about 59.7903796189.

The spelling of 213744 in words is "two hundred thirteen thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 73 122 146 183 219 244 292 366 438 488 584 732 876 976 1168 1464 1752 2928 3504 4453 8906 13359 17812 26718 35624 53436 71248 106872 213744