Base | Representation |
---|---|
bin | 11100110100001… |
… | …10101000010000 |
3 | 121211211211212210 |
4 | 32122012220100 |
5 | 443340131140 |
6 | 35552552120 |
7 | 5663422314 |
oct | 1632065020 |
9 | 554754783 |
10 | 241723920 |
11 | 1144a0839 |
12 | 68b52640 |
13 | 3b105709 |
14 | 24163b44 |
15 | 1634bd80 |
hex | e686a10 |
241723920 has 80 divisors (see below), whose sum is σ = 752451840. Its totient is φ = 64192512.
The previous prime is 241723913. The next prime is 241723949. The reversal of 241723920 is 29327142.
It is a tau number, because it is divible by the number of its divisors (80).
It is a Harshad number since it is a multiple of its sum of digits (30).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59721 + ... + 63639.
It is an arithmetic number, because the mean of its divisors is an integer number (9405648).
Almost surely, 2241723920 is an apocalyptic number.
241723920 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 241723920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376225920).
241723920 is an abundant number, since it is smaller than the sum of its proper divisors (510727920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
241723920 is a wasteful number, since it uses less digits than its factorization.
241723920 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4192 (or 4186 counting only the distinct ones).
The product of its (nonzero) digits is 6048, while the sum is 30.
The square root of 241723920 is about 15547.4731065855. The cubic root of 241723920 is about 622.9309027642.
The spelling of 241723920 in words is "two hundred forty-one million, seven hundred twenty-three thousand, nine hundred twenty".
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