| Base | Representation |
|---|---|
| bin | 1111011111100… |
| … | …00110111100000 |
| 3 | 100001112201120200 |
| 4 | 13233300313200 |
| 5 | 231232231230 |
| 6 | 20521305200 |
| 7 | 3135440220 |
| oct | 757606740 |
| 9 | 301481520 |
| 10 | 129961440 |
| 11 | 673a5a54 |
| 12 | 37635200 |
| 13 | 20c0407b |
| 14 | 13390080 |
| 15 | b622160 |
| hex | 7bf0de0 |
129961440 has 144 divisors (see below), whose sum is σ = 506888928. Its totient is φ = 29703168.
The previous prime is 129961423. The next prime is 129961457. The reversal of 129961440 is 44169921.
It is a happy number.
129961440 is a `hidden beast` number, since 129 + 96 + 1 + 440 = 666.
It is an interprime number because it is at equal distance from previous prime (129961423) and next prime (129961457).
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 = 129961395 and 129961404.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3634 + ... + 16526.
It is an arithmetic number, because the mean of its divisors is an integer number (3520062).
Almost surely, 2129961440 is an apocalyptic number.
129961440 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 129961440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253444464).
129961440 is an abundant number, since it is smaller than the sum of its proper divisors (376927488).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
129961440 is a wasteful number, since it uses less digits than its factorization.
129961440 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 12921 (or 12910 counting only the distinct ones).
The product of its (nonzero) digits is 15552, while the sum is 36.
The square root of 129961440 is about 11400.0631577198. The cubic root of 129961440 is about 506.5296105128.
The spelling of 129961440 in words is "one hundred twenty-nine million, nine hundred sixty-one thousand, four hundred forty".
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