Base | Representation |
---|---|
bin | 10001110011011… |
… | …00011100010000 |
3 | 101102000100200000 |
4 | 20321230130100 |
5 | 301212420333 |
6 | 22452530000 |
7 | 3462246216 |
oct | 1071543420 |
9 | 342010600 |
10 | 149341968 |
11 | 77332916 |
12 | 42020900 |
13 | 24c2b539 |
14 | 15b96cb6 |
15 | d19e713 |
hex | 8e6c710 |
149341968 has 120 divisors (see below), whose sum is σ = 440346816. Its totient is φ = 48988800.
The previous prime is 149341963. The next prime is 149341981. The reversal of 149341968 is 869143941.
It is a super-2 number, since 2×1493419682 = 44606046812226048, which contains 22 as substring.
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (149341961) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 275778 + ... + 276318.
Almost surely, 2149341968 is an apocalyptic number.
149341968 is a gapful number since it is divisible by the number (18) 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 149341968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220173408).
149341968 is an abundant number, since it is smaller than the sum of its proper divisors (291004848).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
149341968 is an equidigital number, since it uses as much as digits as its factorization.
149341968 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 635 (or 617 counting only the distinct ones).
The product of its digits is 186624, while the sum is 45.
The square root of 149341968 is about 12220.5551428730. Note that the first 3 decimals coincide. The cubic root of 149341968 is about 530.5511864012.
The spelling of 149341968 in words is "one hundred forty-nine million, three hundred forty-one thousand, nine hundred sixty-eight".
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