Base | Representation |
---|---|
bin | 10000110101000… |
… | …00110101010000 |
3 | 100211122002000200 |
4 | 20122200311100 |
5 | 242114333302 |
6 | 22001415200 |
7 | 3332623242 |
oct | 1032406520 |
9 | 324562020 |
10 | 141167952 |
11 | 7275a632 |
12 | 3b33a500 |
13 | 23328b43 |
14 | 14a6a092 |
15 | c5d781c |
hex | 86a0d50 |
141167952 has 60 divisors (see below), whose sum is σ = 396382740. Its totient is φ = 46900224.
The previous prime is 141167947. The next prime is 141167953. The reversal of 141167952 is 259761141.
It can be written as a sum of positive squares in 2 ways, for example, as 82737216 + 58430736 = 9096^2 + 7644^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (141167953) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47074 + ... + 49982.
It is an arithmetic number, because the mean of its divisors is an integer number (6606379).
Almost surely, 2141167952 is an apocalyptic number.
141167952 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 141167952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198191370).
141167952 is an abundant number, since it is smaller than the sum of its proper divisors (255214788).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
141167952 is a wasteful number, since it uses less digits than its factorization.
141167952 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3260 (or 3251 counting only the distinct ones).
The product of its digits is 15120, while the sum is 36.
The square root of 141167952 is about 11881.4120372959. The cubic root of 141167952 is about 520.6893618461.
The spelling of 141167952 in words is "one hundred forty-one million, one hundred sixty-seven thousand, nine hundred fifty-two".
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