241920 has 144 divisors (see below), whose sum is σ = 981120. Its totient is φ = 55296.

The previous prime is 241919. The next prime is 241921. The reversal of 241920 is 29142.

It is a Jordan-Polya number, since it can be written as 8! ⋅ 3!.

It is an interprime number because it is at equal distance from previous prime (241919) and next prime (241921).

It is a tau number, because it is divible by the number of its divisors (144).

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 junction number, because it is equal to *n*+sod(*n*) for *n* = 241893 and 241902.

It is not an unprimeable number, because it can be changed into a prime (241921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34557 + ... + 34563.

2^{241920} is an apocalyptic number.

241920 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 241920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490560).

241920 is an abundant number, since it is smaller than the sum of its proper divisors (739200).

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

241920 is an equidigital number, since it uses as much as digits as its factorization.

241920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 241920 is about 491.8536367661. The cubic root of 241920 is about 62.3099292222.

Adding to 241920 its product of nonzero digits (144), we get a square (242064 = 492^{2}).

The spelling of 241920 in words is "two hundred forty-one thousand, nine hundred twenty".

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 64 70 72 80 84 90 96 105 108 112 120 126 128 135 140 144 160 168 180 189 192 210 216 224 240 252 256 270 280 288 315 320 336 360 378 384 420 432 448 480 504 540 560 576 630 640 672 720 756 768 840 864 896 945 960 1008 1080 1120 1152 1260 1280 1344 1440 1512 1680 1728 1792 1890 1920 2016 2160 2240 2304 2520 2688 2880 3024 3360 3456 3780 3840 4032 4320 4480 5040 5376 5760 6048 6720 6912 7560 8064 8640 8960 10080 11520 12096 13440 15120 16128 17280 20160 24192 26880 30240 34560 40320 48384 60480 80640 120960 241920

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