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

bin | 1001011000000000000 |

3 | 120121101210 |

4 | 1023000000 |

5 | 34312300 |

6 | 10330120 |

7 | 2416425 |

oct | 1130000 |

9 | 517353 |

10 | 307200 |

11 | 19a893 |

12 | 129940 |

13 | a9a9a |

14 | 7dd4c |

15 | 61050 |

hex | 4b000 |

307200 has 78 divisors (see below), whose sum is σ = 1015684. Its totient is φ = 81920.

The previous prime is 307189. The next prime is 307201. The reversal of 307200 is 2703.

Multipling 307200 by its sum of digits (12), we get a square (3686400 = 1920^{2}).

307200 divided by its sum of digits (12) gives a square (25600 = 160^{2}).

Adding to 307200 its reverse (2703), we get a palindrome (309903).

It can be divided in two parts, 30 and 7200, that multiplied together give a cube (216000 = 60^{3}).

307200 is nontrivially palindromic in base 13.

307200 is an esthetic number in base 13, because in such base its adjacent digits differ by 1.

It is a Harshad number since it is a multiple of its sum of digits (12).

307200 is an undulating number in base 13.

It is not an unprimeable number, because it can be changed into a prime (307201) by changing a digit.

307200 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 5 ways as a sum of consecutive naturals, for example, 61438 + ... + 61442.

2^{307200} is an apocalyptic number.

307200 is a gapful number since it is divisible by the number (30) 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 307200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507842).

307200 is an abundant number, since it is smaller than the sum of its proper divisors (708484).

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

307200 is an equidigital number, since it uses as much as digits as its factorization.

307200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 12.

The square root of 307200 is about 554.2562584220. The cubic root of 307200 is about 67.4746132241.

The spelling of 307200 in words is "three hundred seven thousand, two hundred", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 256 300 320 384 400 480 512 600 640 768 800 960 1024 1200 1280 1536 1600 1920 2048 2400 2560 3072 3200 3840 4096 4800 5120 6144 6400 7680 9600 10240 12288 12800 15360 19200 20480 25600 30720 38400 51200 61440 76800 102400 153600 307200

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