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

bin | 101011101011… |

… | …110001000000 |

3 | 210112210110000 |

4 | 223223301000 |

5 | 10412421311 |

6 | 1045240000 |

7 | 166223112 |

oct | 53536100 |

9 | 23483400 |

10 | 11451456 |

11 | 6511715 |

12 | 3a03000 |

13 | 24ac413 |

14 | 17413b2 |

15 | 1013056 |

hex | aebc40 |

11451456 has 105 divisors (see below), whose sum is σ = 34683319. Its totient is φ = 3735936.

The previous prime is 11451449. The next prime is 11451467. The reversal of 11451456 is 65415411.

The square root of 11451456 is 3384.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×11451456^{2} = 262271689039872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 243625 + ... + 243671.

Almost surely, 2^{11451456} is an apocalyptic number.

11451456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11451456 is the 3384-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11451456

11451456 is an abundant number, since it is smaller than the sum of its proper divisors (23231863).

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

11451456 is an frugal number, since it uses more digits than its factorization.

11451456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 52 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The cubic root of 11451456 is about 225.3998224326.

Adding to 11451456 its reverse (65415411), we get a palindrome (76866867).

It can be divided in two parts, 1145 and 1456, that added together give a square (2601 = 51^{2}).

The spelling of 11451456 in words is "eleven million, four hundred fifty-one thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 64 72 81 94 96 108 141 144 162 188 192 216 282 288 324 376 423 432 564 576 648 752 846 864 1128 1269 1296 1504 1692 1728 2209 2256 2538 2592 3008 3384 3807 4418 4512 5076 5184 6627 6768 7614 8836 9024 10152 13254 13536 15228 17672 19881 20304 26508 27072 30456 35344 39762 40608 53016 59643 60912 70688 79524 81216 106032 119286 121824 141376 159048 178929 212064 238572 243648 318096 357858 424128 477144 636192 715716 954288 1272384 1431432 1908576 2862864 3817152 5725728 11451456

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