| Base | Representation |
|---|---|
| bin | 110110110110001… |
| … | …010011110100000 |
| 3 | 2101010110101200100 |
| 4 | 312312022132200 |
| 5 | 3341030341402 |
| 6 | 231150222400 |
| 7 | 31542205365 |
| oct | 6666123640 |
| 9 | 2333411610 |
| 10 | 920168352 |
| 11 | 432458114 |
| 12 | 2181b4a00 |
| 13 | 11883861c |
| 14 | 8a2ca46c |
| 15 | 55bb271c |
| hex | 36d8a7a0 |
920168352 has 144 divisors (see below), whose sum is σ = 2719997280. Its totient is φ = 294852096.
The previous prime is 920168341. The next prime is 920168363. The reversal of 920168352 is 253861029.
920168352 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 (920168341) and next prime (920168363).
It is a tau number, because it is divible by the number of its divisors (144).
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 an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 829174 + ... + 830282.
It is an arithmetic number, because the mean of its divisors is an integer number (18888870).
Almost surely, 2920168352 is an apocalyptic number.
920168352 is the 24768-th pentagonal number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 920168352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1359998640).
920168352 is an abundant number, since it is smaller than the sum of its proper divisors (1799828928).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
920168352 is a wasteful number, since it uses less digits than its factorization.
920168352 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1235 (or 1224 counting only the distinct ones).
The product of its (nonzero) digits is 25920, while the sum is 36.
The square root of 920168352 is about 30334.2768497949. The cubic root of 920168352 is about 972.6481476999.
The spelling of 920168352 in words is "nine hundred twenty million, one hundred sixty-eight thousand, three hundred fifty-two".
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