Base | Representation |
---|---|
bin | 10001110011101… |
… | …11001001110000 |
3 | 101102002120211220 |
4 | 20321313021300 |
5 | 301220321330 |
6 | 22453505040 |
7 | 3462521142 |
oct | 1071671160 |
9 | 342076756 |
10 | 149385840 |
11 | 7736287a |
12 | 42042180 |
13 | 24c454b6 |
14 | 15ba8c92 |
15 | d1ac710 |
hex | 8e77270 |
149385840 has 80 divisors (see below), whose sum is σ = 469017600. Its totient is φ = 39326976.
The previous prime is 149385833. The next prime is 149385883. The reversal of 149385840 is 48583941.
149385840 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (80).
It is a super-2 number, since 2×1493858402 = 44632258385011200, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 149385792 and 149385801.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15021 + ... + 22899.
It is an arithmetic number, because the mean of its divisors is an integer number (5862720).
Almost surely, 2149385840 is an apocalyptic number.
149385840 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 149385840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234508800).
149385840 is an abundant number, since it is smaller than the sum of its proper divisors (319631760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
149385840 is a wasteful number, since it uses less digits than its factorization.
149385840 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7974 (or 7968 counting only the distinct ones).
The product of its (nonzero) digits is 138240, while the sum is 42.
The square root of 149385840 is about 12222.3500195339. The cubic root of 149385840 is about 530.6031344304.
The spelling of 149385840 in words is "one hundred forty-nine million, three hundred eighty-five thousand, eight hundred forty".
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