Base | Representation |
---|---|
bin | 101101111001010… |
… | …1110011110100000 |
3 | 10222022211100002020 |
4 | 1123302232132200 |
5 | 11123221233344 |
6 | 412452021440 |
7 | 53106663354 |
oct | 13362563640 |
9 | 3868740066 |
10 | 1540024224 |
11 | 720337aa2 |
12 | 36b901880 |
13 | 1b7096b4b |
14 | 108761464 |
15 | 90303719 |
hex | 5bcae7a0 |
1540024224 has 48 divisors (see below), whose sum is σ = 4059538560. Its totient is φ = 511185920.
The previous prime is 1540024141. The next prime is 1540024307. The reversal of 1540024224 is 4224200451.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (1540024141) and next prime (1540024307).
It is a tau number, because it is divible by the number of its divisors (48).
It is a super-2 number, since 2×15400242242 = 4743349221013604352, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a junction number, because it is equal to n+sod(n) for n = 1540024194 and 1540024203.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10617 + ... + 56504.
It is an arithmetic number, because the mean of its divisors is an integer number (84573720).
Almost surely, 21540024224 is an apocalyptic number.
It is an amenable number.
1540024224 is an abundant number, since it is smaller than the sum of its proper divisors (2519514336).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1540024224 is a wasteful number, since it uses less digits than its factorization.
1540024224 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 67373 (or 67365 counting only the distinct ones).
The product of its (nonzero) digits is 2560, while the sum is 24.
The square root of 1540024224 is about 39243.1423818226. The cubic root of 1540024224 is about 1154.8064052130.
Adding to 1540024224 its reverse (4224200451), we get a palindrome (5764224675).
The spelling of 1540024224 in words is "one billion, five hundred forty million, twenty-four thousand, two hundred twenty-four".
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