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

bin | 11001000010100… |

… | …011110101100000 |

3 | 1002021111100212210 |

4 | 121002203311200 |

5 | 1330021221342 |

6 | 105404122120 |

7 | 13260542430 |

oct | 3102436540 |

9 | 1067440783 |

10 | 420101472 |

11 | 1a61554aa |

12 | b8836340 |

13 | 6905bc6b |

14 | 3db182c0 |

15 | 26d3479c |

hex | 190a3d60 |

420101472 has 96 divisors (see below), whose sum is σ = 1265628672. Its totient is φ = 119522304.

The previous prime is 420101459. The next prime is 420101483. The reversal of 420101472 is 274101024.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175548 + ... + 177924.

It is an arithmetic number, because the mean of its divisors is an integer number (13183632).

Almost surely, 2^{420101472} is an apocalyptic number.

420101472 is a gapful number since it is divisible by the number (42) 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 420101472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632814336).

420101472 is an abundant number, since it is smaller than the sum of its proper divisors (845527200).

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

420101472 is a wasteful number, since it uses less digits than its factorization.

420101472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2660 (or 2652 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 420101472 is about 20496.3770457122. The cubic root of 420101472 is about 748.9475442511.

Subtracting from 420101472 its product of nonzero digits (448), we obtain a palindrome (420101024).

Adding to 420101472 its reverse (274101024), we get a palindrome (694202496).

The spelling of 420101472 in words is "four hundred twenty million, one hundred one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 263 336 526 672 789 1052 1578 1841 2104 2377 3156 3682 4208 4754 5523 6312 7131 7364 8416 9508 11046 12624 14262 14728 16639 19016 22092 25248 28524 29456 33278 38032 44184 49917 57048 58912 66556 76064 88368 99834 114096 133112 176736 199668 228192 266224 399336 532448 625151 798672 1250302 1597344 1875453 2500604 3750906 4376057 5001208 7501812 8752114 10002416 13128171 15003624 17504228 20004832 26256342 30007248 35008456 52512684 60014496 70016912 105025368 140033824 210050736 420101472

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