Base | Representation |
---|---|
bin | 10001100110100… |
… | …10000100000000 |
3 | 101021211221220000 |
4 | 20303102010000 |
5 | 300300123211 |
6 | 22352520000 |
7 | 3442045464 |
oct | 1063220400 |
9 | 337757800 |
10 | 147661056 |
11 | 76394a34 |
12 | 41550000 |
13 | 2479040a |
14 | 1587a4a4 |
15 | ce6b656 |
hex | 8cd2100 |
147661056 has 90 divisors (see below), whose sum is σ = 440360382. Its totient is φ = 49213440.
The previous prime is 147661051. The next prime is 147661079. The reversal of 147661056 is 650166741.
147661056 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in only one way, i.e., 84934656 + 62726400 = 9216^2 + 7920^2 .
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 147661056.
It is not an unprimeable number, because it can be changed into a prime (147661051) by changing a digit.
It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 17176 + ... + 24296.
Almost surely, 2147661056 is an apocalyptic number.
147661056 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 147661056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220180191).
147661056 is an abundant number, since it is smaller than the sum of its proper divisors (292699326).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
147661056 is an frugal number, since it uses more digits than its factorization.
147661056 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7149 (or 7126 counting only the distinct ones).
The product of its (nonzero) digits is 30240, while the sum is 36.
The square root of 147661056 is about 12151.5865630789. The cubic root of 147661056 is about 528.5531393303.
The spelling of 147661056 in words is "one hundred forty-seven million, six hundred sixty-one thousand, fifty-six".
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