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

bin | 101101100100… |

… | …000000000000 |

3 | 211110211000000 |

4 | 231210000000 |

5 | 11024201221 |

6 | 1104000000 |

7 | 203343654 |

oct | 55440000 |

9 | 24424000 |

10 | 11943936 |

11 | 6818724 |

12 | 4000000 |

13 | 2622624 |

14 | 182ca64 |

15 | 10ade26 |

hex | b64000 |

11943936 has 105 divisors (see below), whose sum is σ = 35814331. Its totient is φ = 3981312.

The previous prime is 11943929. The next prime is 11943941. The reversal of 11943936 is 63934911.

The square root of 11943936 is 3456.

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

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

It is a nialpdrome in base 8, base 12 and base 16.

It is a zygodrome in base 8.

It is a self number, because there is not a number *n* which added to its sum of digits gives 11943936.

It is an unprimeable number.

It is a polite number, since it can be written in 6 ways as a sum of consecutive naturals, for example, 3981311 + 3981312 + 3981313.

Almost surely, 2^{11943936} is an apocalyptic number.

11943936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11943936 is the 3456-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11943936

11943936 is an abundant number, since it is smaller than the sum of its proper divisors (23870395).

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

11943936 is an frugal number, since it uses more digits than its factorization.

11943936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 5 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The cubic root of 11943936 is about 228.5857514834.

Multiplying 11943936 by its sum of digits (36), we get a 8-th power (429981696 = 12^{8}).

11943936 divided by its sum of digits (36) gives a 4-th power (331776 = 24^{4}).

The spelling of 11943936 in words is "eleven million, nine hundred forty-three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 729 768 864 972 1024 1152 1296 1458 1536 1728 1944 2048 2304 2592 2916 3072 3456 3888 4096 4608 5184 5832 6144 6912 7776 8192 9216 10368 11664 12288 13824 15552 16384 18432 20736 23328 24576 27648 31104 36864 41472 46656 49152 55296 62208 73728 82944 93312 110592 124416 147456 165888 186624 221184 248832 331776 373248 442368 497664 663552 746496 995328 1327104 1492992 1990656 2985984 3981312 5971968 11943936

• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.105 sec. • engine limits •