Base | Representation |
---|---|
bin | 11000000111110… |
… | …01001001000000 |
3 | 112002202022000000 |
4 | 30003321021000 |
5 | 403300101242 |
6 | 32025000000 |
7 | 5004631104 |
oct | 1403711100 |
9 | 462668000 |
10 | 202347072 |
11 | a4246394 |
12 | 57923000 |
13 | 32bc96c5 |
14 | 1cc33904 |
15 | 12b6ea4c |
hex | c0f9240 |
202347072 has 98 divisors (see below), whose sum is σ = 602162118. Its totient is φ = 67433472.
The previous prime is 202347029. The next prime is 202347083. The reversal of 202347072 is 270743202.
It can be written as a sum of positive squares in only one way, i.e., 112021056 + 90326016 = 10584^2 + 9504^2 .
It is a Harshad number since it is a multiple of its sum of digits (27).
It is an unprimeable number.
It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 44488 + ... + 48824.
Almost surely, 2202347072 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 202347072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301081059).
202347072 is an abundant number, since it is smaller than the sum of its proper divisors (399815046).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
202347072 is an frugal number, since it uses more digits than its factorization.
202347072 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4367 (or 4342 counting only the distinct ones).
The product of its (nonzero) digits is 4704, while the sum is 27.
The square root of 202347072 is about 14224.8751136873. The cubic root of 202347072 is about 587.0822835450.
The spelling of 202347072 in words is "two hundred two million, three hundred forty-seven thousand, seventy-two".
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