Base | Representation |
---|---|

bin | 1001010111111010000 |

3 | 120121100000 |

4 | 1022333100 |

5 | 34312102 |

6 | 10330000 |

7 | 2416326 |

oct | 1127720 |

9 | 517300 |

10 | 307152 |

11 | 19a84a |

12 | 129900 |

13 | a9a61 |

14 | 7dd16 |

15 | 6101c |

hex | 4afd0 |

307152 has 60 divisors (see below), whose sum is σ = 902720. Its totient is φ = 101088.

The previous prime is 307147. The next prime is 307163. The reversal of 307152 is 251703.

Adding to 307152 its reverse (251703), we get a palindrome (558855).

It can be divided in two parts, 307 and 152, that multiplied together give a palindrome (46664).

It is a super-2 number, since 2×307152^{2} = 188684702208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

307152 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3849 + ... + 3927.

2^{307152} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 307152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451360).

307152 is an abundant number, since it is smaller than the sum of its proper divisors (595568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

307152 is an equidigital number, since it uses as much as digits as its factorization.

307152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 307152 is about 554.2129554603. The cubic root of 307152 is about 67.4710987383.

The spelling of 307152 in words is "three hundred seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 79 81 108 144 158 162 216 237 243 316 324 432 474 486 632 648 711 948 972 1264 1296 1422 1896 1944 2133 2844 3792 3888 4266 5688 6399 8532 11376 12798 17064 19197 25596 34128 38394 51192 76788 102384 153576 307152

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