Base | Representation |
---|---|
bin | 1011010000110… |
… | …0000000110000 |
3 | 10021212210101220 |
4 | 2310030000300 |
5 | 44043010440 |
6 | 4404225040 |
7 | 1112330502 |
oct | 264140060 |
9 | 107783356 |
10 | 47235120 |
11 | 24732499 |
12 | 1399b180 |
13 | 9a2aa9a |
14 | 63b7d72 |
15 | 42308d0 |
hex | 2d0c030 |
47235120 has 80 divisors (see below), whose sum is σ = 148011360. Its totient is φ = 12460032.
The previous prime is 47235109. The next prime is 47235131. The reversal of 47235120 is 2153274.
It is an interprime number because it is at equal distance from previous prime (47235109) and next prime (47235131).
It is a tau number, because it is divible by the number of its divisors (80).
It is a super-2 number, since 2×472351202 = 4462313122828800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22266 + ... + 24294.
It is an arithmetic number, because the mean of its divisors is an integer number (1850142).
Almost surely, 247235120 is an apocalyptic number.
47235120 is a gapful number since it is divisible by the number (40) 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 47235120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74005680).
47235120 is an abundant number, since it is smaller than the sum of its proper divisors (100776240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47235120 is a wasteful number, since it uses less digits than its factorization.
47235120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2142 (or 2136 counting only the distinct ones).
The product of its (nonzero) digits is 1680, while the sum is 24.
The square root of 47235120 is about 6872.7810964703. The cubic root of 47235120 is about 361.4833854652.
Adding to 47235120 its reverse (2153274), we get a palindrome (49388394).
The spelling of 47235120 in words is "forty-seven million, two hundred thirty-five thousand, one hundred twenty".
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