| Base | Representation |
|---|---|
| bin | 100001111000111… |
| … | …0001100010100000 |
| 3 | 2221020200202100220 |
| 4 | 1003301301202200 |
| 5 | 4312100341230 |
| 6 | 304500243040 |
| 7 | 40115241600 |
| oct | 10361614240 |
| 9 | 2836622326 |
| 10 | 1137121440 |
| 11 | 53396a194 |
| 12 | 2789a0480 |
| 13 | 15177a230 |
| 14 | ab042c00 |
| 15 | 69c69d10 |
| hex | 43c718a0 |
1137121440 has 288 divisors, whose sum is σ = 4488462720. Its totient is φ = 239855616.
The previous prime is 1137121439. The next prime is 1137121441. The reversal of 1137121440 is 441217311.
It is an interprime number because it is at equal distance from previous prime (1137121439) and next prime (1137121441).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a self number, because there is not a number n which added to its sum of digits gives 1137121440.
It is not an unprimeable number, because it can be changed into a prime (1137121441) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 303901 + ... + 307619.
It is an arithmetic number, because the mean of its divisors is an integer number (15584940).
Almost surely, 21137121440 is an apocalyptic number.
1137121440 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 1137121440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2244231360).
1137121440 is an abundant number, since it is smaller than the sum of its proper divisors (3351341280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1137121440 is a wasteful number, since it uses less digits than its factorization.
1137121440 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3764 (or 3749 counting only the distinct ones).
The product of its (nonzero) digits is 672, while the sum is 24.
The square root of 1137121440 is about 33721.2312942455. The cubic root of 1137121440 is about 1043.7639254241.
Adding to 1137121440 its reverse (441217311), we get a palindrome (1578338751).
The spelling of 1137121440 in words is "one billion, one hundred thirty-seven million, one hundred twenty-one thousand, four hundred forty".
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