Base | Representation |
---|---|
bin | 10001101011110… |
… | …01100011000000 |
3 | 101100010210221000 |
4 | 20311321203000 |
5 | 300434101242 |
6 | 22415332000 |
7 | 3450633516 |
oct | 1065714300 |
9 | 340123830 |
10 | 148347072 |
11 | 76813395 |
12 | 41821000 |
13 | 24970743 |
14 | 159b84b6 |
15 | d054a4c |
hex | 8d798c0 |
148347072 has 84 divisors (see below), whose sum is σ = 437606440. Its totient is φ = 49280256.
The previous prime is 148347037. The next prime is 148347077. The reversal of 148347072 is 270743841.
It is a happy number.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (148347077) 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, 506158 + ... + 506450.
Almost surely, 2148347072 is an apocalyptic number.
148347072 is a gapful number since it is divisible by the number (12) 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 148347072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218803220).
148347072 is an abundant number, since it is smaller than the sum of its proper divisors (289259368).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
148347072 is an frugal number, since it uses more digits than its factorization.
148347072 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 607 (or 298 counting only the distinct ones).
The product of its (nonzero) digits is 37632, while the sum is 36.
The square root of 148347072 is about 12179.7812788243. The cubic root of 148347072 is about 529.3704070176.
Multiplying 148347072 by its product of nonzero digits (37632), we get a square (5582597013504 = 23627522).
The spelling of 148347072 in words is "one hundred forty-eight million, three hundred forty-seven thousand, seventy-two".
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