Base | Representation |
---|---|
bin | 1111011011000… |
… | …10011010100000 |
3 | 100000110002012000 |
4 | 13231202122200 |
5 | 231110043302 |
6 | 20501004000 |
7 | 3130460124 |
oct | 755423240 |
9 | 300402160 |
10 | 129377952 |
11 | 67037630 |
12 | 373b3600 |
13 | 20a5b602 |
14 | 1327b584 |
15 | b55931c |
hex | 7b626a0 |
129377952 has 96 divisors (see below), whose sum is σ = 411687360. Its totient is φ = 39202560.
The previous prime is 129377951. The next prime is 129377953. The reversal of 129377952 is 259773921.
It is an interprime number because it is at equal distance from previous prime (129377951) and next prime (129377953).
It is a tau number, because it is divible by the number of its divisors (96).
It is a junction number, because it is equal to n+sod(n) for n = 129377898 and 129377907.
It is not an unprimeable number, because it can be changed into a prime (129377951) by changing a digit.
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, 2698 + ... + 16310.
It is an arithmetic number, because the mean of its divisors is an integer number (4288410).
Almost surely, 2129377952 is an apocalyptic number.
129377952 is a gapful number since it is divisible by the number (12) 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 129377952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205843680).
129377952 is an abundant number, since it is smaller than the sum of its proper divisors (282309408).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
129377952 is a wasteful number, since it uses less digits than its factorization.
129377952 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 13643 (or 13629 counting only the distinct ones).
The product of its digits is 238140, while the sum is 45.
The square root of 129377952 is about 11374.4429314143. The cubic root of 129377952 is about 505.7704177034.
The spelling of 129377952 in words is "one hundred twenty-nine million, three hundred seventy-seven thousand, nine hundred fifty-two".
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