Base | Representation |
---|---|
bin | 10001101110011… |
… | …11110100000000 |
3 | 101100210202121211 |
4 | 20313033310000 |
5 | 301031403131 |
6 | 22431055504 |
7 | 3453634624 |
oct | 1067176400 |
9 | 340722554 |
10 | 148700416 |
11 | 76a34907 |
12 | 41971594 |
13 | 24a65517 |
14 | 15a6b184 |
15 | d0c45b1 |
hex | 8dcfd00 |
148700416 has 54 divisors (see below), whose sum is σ = 303702630. Its totient is φ = 72658944.
The previous prime is 148700413. The next prime is 148700443. The reversal of 148700416 is 614007841.
It can be written as a sum of positive squares in 3 ways, for example, as 42198016 + 106502400 = 6496^2 + 10320^2 .
It is a super-2 number, since 2×1487004162 = 44223627437146112, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (148700413) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1364170 + ... + 1364278.
Almost surely, 2148700416 is an apocalyptic number.
148700416 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 148700416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151851315).
148700416 is an abundant number, since it is smaller than the sum of its proper divisors (155002214).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
148700416 is an frugal number, since it uses more digits than its factorization.
148700416 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 271 (or 184 counting only the distinct ones).
The product of its (nonzero) digits is 5376, while the sum is 31.
The square root of 148700416 is about 12194.2780024075. The cubic root of 148700416 is about 529.7903715891.
The spelling of 148700416 in words is "one hundred forty-eight million, seven hundred thousand, four hundred sixteen".
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