| Base | Representation |
|---|---|
| bin | 10010011001010… |
| … | …11111110000000 |
| 3 | 101202101022022000 |
| 4 | 21030223332000 |
| 5 | 304001231033 |
| 6 | 23151344000 |
| 7 | 3552463530 |
| oct | 1114537600 |
| 9 | 352338260 |
| 10 | 154320768 |
| 11 | 7a123528 |
| 12 | 43822000 |
| 13 | 25c82784 |
| 14 | 166d14c0 |
| 15 | d834a13 |
| hex | 932bf80 |
154320768 has 128 divisors (see below), whose sum is σ = 520608000. Its totient is φ = 44084736.
The previous prime is 154320763. The next prime is 154320769. The reversal of 154320768 is 867023451.
It is a tau number, because it is divible by the number of its divisors (128).
It is a super-2 number, since 2×1543207682 = 47629798872219648, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (154320763) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21003 + ... + 27381.
It is an arithmetic number, because the mean of its divisors is an integer number (4067250).
Almost surely, 2154320768 is an apocalyptic number.
154320768 is a gapful number since it is divisible by the number (18) 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 154320768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260304000).
154320768 is an abundant number, since it is smaller than the sum of its proper divisors (366287232).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
154320768 is an equidigital number, since it uses as much as digits as its factorization.
154320768 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6409 (or 6391 counting only the distinct ones).
The product of its (nonzero) digits is 40320, while the sum is 36.
The square root of 154320768 is about 12422.5910340798. The cubic root of 154320768 is about 536.3827369588.
The spelling of 154320768 in words is "one hundred fifty-four million, three hundred twenty thousand, seven hundred sixty-eight".
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