Base | Representation |
---|---|
bin | 10001101100000… |
… | …00001110000000 |
3 | 101100012012102011 |
4 | 20312000032000 |
5 | 300440440100 |
6 | 22420102304 |
7 | 3451106266 |
oct | 1066001600 |
9 | 340165364 |
10 | 148374400 |
11 | 76831979 |
12 | 41834994 |
13 | 24980005 |
14 | 159c4436 |
15 | d05cbba |
hex | 8d80380 |
148374400 has 96 divisors (see below), whose sum is σ = 369954000. Its totient is φ = 58798080.
The previous prime is 148374389. The next prime is 148374407. The reversal of 148374400 is 4473841.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (148374407) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 636684 + ... + 636916.
Almost surely, 2148374400 is an apocalyptic number.
148374400 is a gapful number since it is divisible by the number (10) 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 148374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184977000).
148374400 is an abundant number, since it is smaller than the sum of its proper divisors (221579600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
148374400 is a wasteful number, since it uses less digits than its factorization.
148374400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 456 (or 439 counting only the distinct ones).
The product of its (nonzero) digits is 10752, while the sum is 31.
The square root of 148374400 is about 12180.9030863890. The cubic root of 148374400 is about 529.4029113020.
The spelling of 148374400 in words is "one hundred forty-eight million, three hundred seventy-four thousand, four hundred".
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