| Base | Representation |
|---|---|
| bin | 10001011111011… |
| … | …10101000110000 |
| 3 | 101020002122001200 |
| 4 | 20233232220300 |
| 5 | 300030321040 |
| 6 | 22320531200 |
| 7 | 3431115600 |
| oct | 1057565060 |
| 9 | 336078050 |
| 10 | 146729520 |
| 11 | 75909073 |
| 12 | 41180b00 |
| 13 | 24525402 |
| 14 | 156b6c00 |
| 15 | cd35630 |
| hex | 8beea30 |
146729520 has 180 divisors, whose sum is σ = 573356160. Its totient is φ = 33530112.
The previous prime is 146729507. The next prime is 146729521. The reversal of 146729520 is 25927641.
146729520 is digitally balanced in base 2, because in such base 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 (180).
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (146729521) by changing a digit.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33201 + ... + 37359.
It is an arithmetic number, because the mean of its divisors is an integer number (3185312).
Almost surely, 2146729520 is an apocalyptic number.
146729520 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 146729520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286678080).
146729520 is an abundant number, since it is smaller than the sum of its proper divisors (426626640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
146729520 is a wasteful number, since it uses less digits than its factorization.
146729520 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4192 (or 4176 counting only the distinct ones).
The product of its (nonzero) digits is 30240, while the sum is 36.
The square root of 146729520 is about 12113.1961100281. The cubic root of 146729520 is about 527.4393152864.
The spelling of 146729520 in words is "one hundred forty-six million, seven hundred twenty-nine thousand, five hundred twenty".
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