| Base | Representation |
|---|---|
| bin | 101101111011000… |
| … | …0110100110000000 |
| 3 | 10222101111022101000 |
| 4 | 1123312012212000 |
| 5 | 11123433100230 |
| 6 | 412523012000 |
| 7 | 53120341230 |
| oct | 13366064600 |
| 9 | 3871438330 |
| 10 | 1540909440 |
| 11 | 720892084 |
| 12 | 37006a000 |
| 13 | 1b7316a45 |
| 14 | 108911cc0 |
| 15 | 9042ab60 |
| hex | 5bd86980 |
1540909440 has 256 divisors, whose sum is σ = 6237504000. Its totient is φ = 352180224.
The previous prime is 1540909423. The next prime is 1540909441. The reversal of 1540909440 is 449090451.
It is a happy number.
It is a super-2 number, since 2×15409094402 = 4748803804562227200, which contains 22 as substring.
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 = 1540909395 and 1540909404.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1540909441) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114591 + ... + 127329.
It is an arithmetic number, because the mean of its divisors is an integer number (24365250).
Almost surely, 21540909440 is an apocalyptic number.
1540909440 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 1540909440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3118752000).
1540909440 is an abundant number, since it is smaller than the sum of its proper divisors (4696594560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1540909440 is a wasteful number, since it uses less digits than its factorization.
1540909440 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 12774 (or 12756 counting only the distinct ones).
The product of its (nonzero) digits is 25920, while the sum is 36.
The square root of 1540909440 is about 39254.4193690341. The cubic root of 1540909440 is about 1155.0276262577.
Adding to 1540909440 its reverse (449090451), we get a palindrome (1989999891).
The spelling of 1540909440 in words is "one billion, five hundred forty million, nine hundred nine thousand, four hundred forty".
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