Base | Representation |
---|---|
bin | 10001101111100… |
… | …01111001000000 |
3 | 101101001212002121 |
4 | 20313301321000 |
5 | 301100340000 |
6 | 22434054024 |
7 | 3455055601 |
oct | 1067617100 |
9 | 341055077 |
10 | 148840000 |
11 | 7701a771 |
12 | 41a1a314 |
13 | 24ab3c0a |
14 | 15aa5da8 |
15 | d100b1a |
hex | 8df1e40 |
148840000 has 105 divisors (see below), whose sum is σ = 375224421. Its totient is φ = 58560000.
The previous prime is 148839983. The next prime is 148840009. The reversal of 148840000 is 48841.
The square root of 148840000 is 12200.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in 7 ways, for example, as 147282496 + 1557504 = 12136^2 + 1248^2 .
It is a Harshad number since it is a multiple of its sum of digits (25).
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (148840009) 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 14 ways as a sum of consecutive naturals, for example, 2439970 + ... + 2440030.
Almost surely, 2148840000 is an apocalyptic number.
148840000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
148840000 is the 12200-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 148840000
148840000 is an abundant number, since it is smaller than the sum of its proper divisors (226384421).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
148840000 is an frugal number, since it uses more digits than its factorization.
148840000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 154 (or 68 counting only the distinct ones).
The product of its (nonzero) digits is 1024, while the sum is 25.
The cubic root of 148840000 is about 529.9560898711.
Multiplying 148840000 by its sum of digits (25), we get a square (3721000000 = 610002).
148840000 divided by its sum of digits (25) gives a square (5953600 = 24402).
Multiplying 148840000 by its product of nonzero digits (1024), we get a square (152412160000 = 3904002).
Adding to 148840000 its reverse (48841), we get a palindrome (148888841).
Multiplying 148840000 by its reverse (48841), we get a square (7269494440000 = 26962002).
The spelling of 148840000 in words is "one hundred forty-eight million, eight hundred forty thousand".
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