| Base | Representation |
|---|---|
| bin | 101101110000000… |
| … | …1010000110100000 |
| 3 | 10221222200001000100 |
| 4 | 1123200022012200 |
| 5 | 11121000003030 |
| 6 | 412155422400 |
| 7 | 53020421223 |
| oct | 13340120640 |
| 9 | 3858601010 |
| 10 | 1535156640 |
| 11 | 7186129a6 |
| 12 | 36a154a00 |
| 13 | 1b6081414 |
| 14 | 107c555ba |
| 15 | 8eb91360 |
| hex | 5b80a1a0 |
1535156640 has 144 divisors (see below), whose sum is σ = 5380495848. Its totient is φ = 398297088.
The previous prime is 1535156573. The next prime is 1535156647. The reversal of 1535156640 is 466515351.
1535156640 is a `hidden beast` number, since 1 + 5 + 3 + 5 + 1 + 5 + 6 + 640 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 1276204176 + 258952464 = 35724^2 + 16092^2 .
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 (36).
It is a junction number, because it is equal to n+sod(n) for n = 1535156595 and 1535156604.
It is not an unprimeable number, because it can be changed into a prime (1535156647) by changing a digit.
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 23 ways as a sum of consecutive naturals, for example, 38874 + ... + 67686.
Almost surely, 21535156640 is an apocalyptic number.
1535156640 is a gapful number since it is divisible by the number (10) 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 1535156640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2690247924).
1535156640 is an abundant number, since it is smaller than the sum of its proper divisors (3845339208).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1535156640 is a wasteful number, since it uses less digits than its factorization.
1535156640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 28871 (or 28860 counting only the distinct ones).
The product of its (nonzero) digits is 54000, while the sum is 36.
The square root of 1535156640 is about 39181.0750235366. The cubic root of 1535156640 is about 1153.5884482112.
The spelling of 1535156640 in words is "one billion, five hundred thirty-five million, one hundred fifty-six thousand, six hundred forty".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.069 sec. • engine limits •