| Base | Representation |
|---|---|
| bin | 10001011100110… |
| … | …00100100101000 |
| 3 | 101012102201111101 |
| 4 | 20232120210220 |
| 5 | 244433031000 |
| 6 | 22305211144 |
| 7 | 3425120050 |
| oct | 1056304450 |
| 9 | 335381441 |
| 10 | 146377000 |
| 11 | 75698230 |
| 12 | 41030ab4 |
| 13 | 24430b13 |
| 14 | 15624560 |
| 15 | ccb5e6a |
| hex | 8b98928 |
146377000 has 128 divisors (see below), whose sum is σ = 427265280. Its totient is φ = 45600000.
The previous prime is 146376983. The next prime is 146377013. The reversal of 146377000 is 773641.
It is a super-2 number, since 2×1463770002 = 42852452258000000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (28).
It is a self number, because there is not a number n which added to its sum of digits gives 146377000.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76050 + ... + 77950.
It is an arithmetic number, because the mean of its divisors is an integer number (3338010).
Almost surely, 2146377000 is an apocalyptic number.
146377000 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 146377000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213632640).
146377000 is an abundant number, since it is smaller than the sum of its proper divisors (280888280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
146377000 is a wasteful number, since it uses less digits than its factorization.
146377000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1940 (or 1926 counting only the distinct ones).
The product of its (nonzero) digits is 3528, while the sum is 28.
The square root of 146377000 is about 12098.6362867887. The cubic root of 146377000 is about 527.0165827902.
It can be divided in two parts, 146 and 377000, that added together give a triangular number (377146 = T868).
The spelling of 146377000 in words is "one hundred forty-six million, three hundred seventy-seven thousand".
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