| Base | Representation |
|---|---|
| bin | 11100100111001… |
| … | …10111010000000 |
| 3 | 121201122100002010 |
| 4 | 32103212322000 |
| 5 | 442421133440 |
| 6 | 35452252520 |
| 7 | 5643101013 |
| oct | 1623467200 |
| 9 | 551570063 |
| 10 | 240021120 |
| 11 | 113538469 |
| 12 | 68471140 |
| 13 | 3a95a641 |
| 14 | 23c3d37a |
| 15 | 16112580 |
| hex | e4e6e80 |
240021120 has 128 divisors (see below), whose sum is σ = 771120000. Its totient is φ = 63500288.
The previous prime is 240021107. The next prime is 240021149. The reversal of 240021120 is 21120042.
It is a tau number, because it is divible by the number of its divisors (128).
It is a super-2 number, since 2×2400211202 = 115220276092108800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a junction number, because it is equal to n+sod(n) for n = 240021096 and 240021105.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 285661 + ... + 286499.
It is an arithmetic number, because the mean of its divisors is an integer number (6024375).
Almost surely, 2240021120 is an apocalyptic number.
240021120 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 240021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385560000).
240021120 is an abundant number, since it is smaller than the sum of its proper divisors (531098880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
240021120 is a wasteful number, since it uses less digits than its factorization.
240021120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1010 (or 998 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 12.
The square root of 240021120 is about 15492.6150149031. The cubic root of 240021120 is about 621.4647297534.
Adding to 240021120 its reverse (21120042), we get a palindrome (261141162).
The spelling of 240021120 in words is "two hundred forty million, twenty-one thousand, one hundred twenty".
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