Base | Representation |
---|---|
bin | 1111011101100… |
… | …10110010000000 |
3 | 100001001210202000 |
4 | 13232302302000 |
5 | 231201112021 |
6 | 20512024000 |
7 | 3133330626 |
oct | 756626200 |
9 | 301053660 |
10 | 129707136 |
11 | 67241989 |
12 | 37532000 |
13 | 20b453b0 |
14 | 13325516 |
15 | b5c1b26 |
hex | 7bb2c80 |
129707136 has 128 divisors (see below), whose sum is σ = 412406400. Its totient is φ = 39896064.
The previous prime is 129707113. The next prime is 129707141. The reversal of 129707136 is 631707921.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (128).
It is a super-2 number, since 2×1297071362 = 33647882258644992, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 129707136.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43485 + ... + 46371.
It is an arithmetic number, because the mean of its divisors is an integer number (3221925).
Almost surely, 2129707136 is an apocalyptic number.
129707136 is a gapful number since it is divisible by the number (16) 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 129707136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206203200).
129707136 is an abundant number, since it is smaller than the sum of its proper divisors (282699264).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
129707136 is a wasteful number, since it uses less digits than its factorization.
129707136 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2923 (or 2905 counting only the distinct ones).
The product of its (nonzero) digits is 15876, while the sum is 36.
The square root of 129707136 is about 11388.9040737026. The cubic root of 129707136 is about 506.1990083071.
The spelling of 129707136 in words is "one hundred twenty-nine million, seven hundred seven thousand, one hundred thirty-six".
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