Base | Representation |
---|---|
bin | 10001110001111… |
… | …01110100011000 |
3 | 101101122122201010 |
4 | 20320331310120 |
5 | 301140313000 |
6 | 22444453520 |
7 | 3460522365 |
oct | 1070756430 |
9 | 341578633 |
10 | 149151000 |
11 | 77212399 |
12 | 41b4a2a0 |
13 | 24b9263b |
14 | 15b4746c |
15 | d162d50 |
hex | 8e3dd18 |
149151000 has 128 divisors (see below), whose sum is σ = 471744000. Its totient is φ = 39228800.
The previous prime is 149150999. The next prime is 149151001. The reversal of 149151000 is 151941.
149151000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (149150999) and next prime (149151001).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (149151001) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 248701 + ... + 249299.
It is an arithmetic number, because the mean of its divisors is an integer number (3685500).
Almost surely, 2149151000 is an apocalyptic number.
149151000 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 149151000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235872000).
149151000 is an abundant number, since it is smaller than the sum of its proper divisors (322593000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
149151000 is a wasteful number, since it uses less digits than its factorization.
149151000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 706 (or 692 counting only the distinct ones).
The product of its (nonzero) digits is 180, while the sum is 21.
The square root of 149151000 is about 12212.7392504712. The cubic root of 149151000 is about 530.3249460990.
The spelling of 149151000 in words is "one hundred forty-nine million, one hundred fifty-one thousand".
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