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30240 = 253357
BaseRepresentation
bin111011000100000
31112111000
413120200
51431430
6352000
7154110
oct73040
945430
1030240
11207a1
1215600
13109c2
14b040
158e60
hex7620

30240 has 96 divisors (see below), whose sum is σ = 120960. Its totient is φ = 6912.

The previous prime is 30223. The next prime is 30241. The reversal of 30240 is 4203.

Adding to 30240 its reverse (4203), we get a palindrome (34443).

It is a Jordan-Polya number, since it can be written as 7! ⋅ 3!.

It is a tau number, because it is divible by the number of its divisors (96).

It is a harmonic number, since the harmonic mean of its divisors is an integer.

30240 is an admirable number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30241) by changing a digit.

30240 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, 4317 + ... + 4323.

It is an arithmetic number, because the mean of its divisors is an integer number (1260).

230240 is an apocalyptic number.

30240 is a gapful number since it is divisible by the number (30) 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 30240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60480).

30240 is an abundant number, since it is smaller than the sum of its proper divisors (90720).

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

30240 is a wasteful number, since it uses less digits than its factorization.

30240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 30240 is about 173.8965209543. The cubic root of 30240 is about 31.1549646111.

The spelling of 30240 in words is "thirty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 32 35 36 40 42 45 48 54 56 60 63 70 72 80 84 90 96 105 108 112 120 126 135 140 144 160 168 180 189 210 216 224 240 252 270 280 288 315 336 360 378 420 432 480 504 540 560 630 672 720 756 840 864 945 1008 1080 1120 1260 1440 1512 1680 1890 2016 2160 2520 3024 3360 3780 4320 5040 6048 7560 10080 15120 30240