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

bin | 100101111110000000000 |

3 | 2100012200000 |

4 | 10233300000 |

5 | 304303120 |

6 | 42400000 |

7 | 13401201 |

oct | 4576000 |

9 | 2305600 |

10 | 1244160 |

11 | 77a835 |

12 | 500000 |

13 | 3473b8 |

14 | 2455a8 |

15 | 198990 |

hex | 12fc00 |

1244160 has 132 divisors (see below), whose sum is σ = 4470648. Its totient is φ = 331776.

The previous prime is 1244153. The next prime is 1244167. The reversal of 1244160 is 614421.

It is a Jordan-Polya number, since it can be written as 6! ⋅ 4! ⋅ (3!)^{2} ⋅ 2!.

It is an interprime number because it is at equal distance from previous prime (1244153) and next prime (1244167).

It is an ABA number since it can be written as A⋅B^{A}, here for A=5, B=12.

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

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1244167) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 248830 + ... + 248834.

2^{1244160} is an apocalyptic number.

1244160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1244160 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1244160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2235324).

1244160 is an abundant number, since it is smaller than the sum of its proper divisors (3226488).

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

1244160 is an frugal number, since it uses more digits than its factorization.

1244160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1244160 is about 1115.4192037077. The cubic root of 1244160 is about 107.5537139174.

Adding to 1244160 its reverse (614421), we get a palindrome (1858581).

The spelling of 1244160 in words is "one million, two hundred forty-four thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 128 135 144 160 162 180 192 216 240 243 256 270 288 320 324 360 384 405 432 480 486 512 540 576 640 648 720 768 810 864 960 972 1024 1080 1152 1215 1280 1296 1440 1536 1620 1728 1920 1944 2160 2304 2430 2560 2592 2880 3072 3240 3456 3840 3888 4320 4608 4860 5120 5184 5760 6480 6912 7680 7776 8640 9216 9720 10368 11520 12960 13824 15360 15552 17280 19440 20736 23040 25920 27648 31104 34560 38880 41472 46080 51840 62208 69120 77760 82944 103680 124416 138240 155520 207360 248832 311040 414720 622080 1244160

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