Base | Representation |
---|---|
bin | 10001100001011… |
… | …10011000000000 |
3 | 101020120220012000 |
4 | 20300232120000 |
5 | 300112144332 |
6 | 22330304000 |
7 | 3433254000 |
oct | 1060563000 |
9 | 336526160 |
10 | 146990592 |
11 | 75a77231 |
12 | 41288000 |
13 | 245b71a8 |
14 | 15744000 |
15 | cd87b7c |
hex | 8c2e600 |
146990592 has 320 divisors, whose sum is σ = 523776000. Its totient is φ = 40642560.
The previous prime is 146990581. The next prime is 146990621. The reversal of 146990592 is 295099641.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4741617 + ... + 4741647.
It is an arithmetic number, because the mean of its divisors is an integer number (1636800).
Almost surely, 2146990592 is an apocalyptic number.
146990592 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 146990592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261888000).
146990592 is an abundant number, since it is smaller than the sum of its proper divisors (376785408).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
146990592 is an frugal number, since it uses more digits than its factorization.
146990592 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 79 (or 43 counting only the distinct ones).
The product of its (nonzero) digits is 174960, while the sum is 45.
The square root of 146990592 is about 12123.9676673934. The cubic root of 146990592 is about 527.7519496018.
The spelling of 146990592 in words is "one hundred forty-six million, nine hundred ninety thousand, five hundred ninety-two".
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