Base | Representation |
---|---|
bin | 1010111111101… |
… | …1110001000000 |
3 | 10012210010202011 |
4 | 2233323301000 |
5 | 43301320000 |
6 | 4324302304 |
7 | 1100004433 |
oct | 257736100 |
9 | 105703664 |
10 | 46120000 |
11 | 24040703 |
12 | 13541994 |
13 | 972a354 |
14 | 61a781a |
15 | 40b02ba |
hex | 2bfbc40 |
46120000 has 70 divisors (see below), whose sum is σ = 114461798. Its totient is φ = 18432000.
The previous prime is 46119989. The next prime is 46120021. The reversal of 46120000 is 2164.
It can be written as a sum of positive squares in 5 ways, for example, as 11451456 + 34668544 = 3384^2 + 5888^2 .
It is a zygodrome in base 7.
It is an unprimeable number.
It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 39424 + ... + 40576.
Almost surely, 246120000 is an apocalyptic number.
46120000 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 46120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57230899).
46120000 is an abundant number, since it is smaller than the sum of its proper divisors (68341798).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
46120000 is an equidigital number, since it uses as much as digits as its factorization.
46120000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1185 (or 1160 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 13.
The square root of 46120000 is about 6791.1707385399. The cubic root of 46120000 is about 358.6160859438.
Adding to 46120000 its reverse (2164), we get a palindrome (46122164).
The spelling of 46120000 in words is "forty-six million, one hundred twenty thousand".
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