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241920 = 283357
BaseRepresentation
bin111011000100000000
3110021212000
4323010000
530220140
65104000
72025210
oct730400
9407760
10241920
11155838
12b8000
1386163
1464240
154ba30
hex3b100

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.

2241920 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 = 4922).

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